* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* * [misc]simplify:  iters left: 3 (454 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ i (sqr (fma i 2 alpha))) 0) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* 1 (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* 1 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)))
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (351 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * * * [misc]progress:  [ 2 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * * * [misc]progress:  [ 3 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i)))
* * * * [misc]progress:  [ 4 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 5 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (491 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 6 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (fma (/ i beta) alpha (fma (/ i beta) i i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 7 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 8 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 9 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 10 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (471 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ beta (+ i alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 11 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) beta) (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 12 / 131 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 13 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 14 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 15 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))>
* * * * [misc]progress:  [ 16 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 17 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 18 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* * * * [misc]progress:  [ 19 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 21 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 22 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 23 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 24 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 25 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 26 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 27 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 28 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 29 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 30 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 31 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 32 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 33 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 34 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 35 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 36 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 37 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (457 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 38 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 39 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 40 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 41 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* * * * [misc]progress:  [ 42 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 43 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 44 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 45 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 46 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 47 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 48 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 49 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 50 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 51 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 52 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 53 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 54 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 55 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 56 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 57 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 58 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 59 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 60 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 61 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 62 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 63 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 64 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 65 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 66 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 67 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 68 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 69 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 70 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 71 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 72 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 73 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 74 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 75 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 76 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 77 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 78 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 79 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 80 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 81 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log1p (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 82 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (expm1 (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 83 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (pow (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 84 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 85 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 86 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 88 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 89 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 90 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 91 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 92 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 93 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (+ (+ beta alpha) i)) (- (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [enter]simplify:  Simplifying (- (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 94 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ 1 1) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 95 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* 1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 96 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (+ (+ beta alpha) i) (/ 1 (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 97 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 98 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (/ (+ (+ beta alpha) i) 1) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* * * * [misc]progress:  [ 99 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 100 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* * * * [misc]progress:  [ 101 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 102 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (pow (+ beta alpha) 3) (pow i 3)) (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* * * * [misc]progress:  [ 103 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (sqr (+ beta alpha)) (sqr i)) (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 104 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (log1p (expm1 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (expm1 (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 105 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (expm1 (log1p (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (log1p (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 106 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (pow (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 107 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (pow (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 108 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (exp (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (+ (log (fma i (+ beta (+ alpha i)) (* alpha beta))) (- (log (+ beta (+ alpha i))) (log (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (+ (log (fma i (+ beta (+ alpha i)) (* alpha beta))) (- (log (+ beta (+ alpha i))) (log (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 109 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (exp (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (log (fma i (+ beta (+ alpha i)) (* alpha beta))))
* [exit]simplify:  Simplified to (+ (log (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (log (fma i (+ beta (+ alpha i)) (* alpha beta))))
* * * * [misc]progress:  [ 110 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (exp (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 111 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (log (exp (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (exp (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 112 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cbrt (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 113 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cbrt (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (397 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ i beta) alpha) (* alpha beta))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ i beta) alpha) (* alpha beta))))
* * * * [misc]progress:  [ 114 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 115 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cbrt (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 116 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cube (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 117 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cube (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 118 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqr (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 119 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqr (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 120 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqr (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 121 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* 1 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 122 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (+ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* i (+ (+ beta alpha) i))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* i (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (406 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ i beta) alpha) (+ (+ i beta) alpha)))
* [exit]simplify:  Simplified to (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ i beta) alpha) (+ (+ i beta) alpha)))
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* alpha beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (* alpha beta))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (* alpha beta))
* * * * [misc]progress:  [ 123 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (+ (* (* i (+ (+ beta alpha) i)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (* (* alpha beta) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* i (+ (+ beta alpha) i)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (/ (+ (+ i alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (/ (+ (+ i alpha) beta) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (* (* alpha beta) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (/ (+ (fma i 2 alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (/ (+ (fma i 2 alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 124 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 125 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 1) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 126 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* 1 (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 127 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 128 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3))) (* (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma beta (- beta (fma i 2 alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma beta (- beta (fma i 2 alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))
* * * * [misc]progress:  [ 129 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (* (- beta (fma i 2 alpha)) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (- beta (fma i 2 alpha)) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* * * * [misc]progress:  [ 130 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ alpha (+ i beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (+ alpha (+ i beta)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* * * * [misc]progress:  [ 131 / 131 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 5)))) (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 4)))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 5)))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 4)))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))))))))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta)))))))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1 (* 1 (/ 1 beta)))) +nan.0)) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) (* 1 (* 1 (/ 1 (- beta))))) +nan.0)) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ alpha i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ i (fma i 2 alpha))) into (sqrt (/ i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt 0))) into (/ +nan.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* i (fma i 2 alpha))) into (/ 1 (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* i (fma i 2 alpha)))) into (sqrt (/ 1 (* i (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* i (fma i 2 alpha))) (/ (fma i 2 alpha) (* i (fma i 2 alpha)))))) into (- (/ 1 (* (sqr i) (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (* (sqr i) (fma i 2 alpha)))) (* 2 (sqrt (/ 1 (* i (fma i 2 alpha)))))) into (* -1/2 (sqrt (/ 1 (* (pow i 3) (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (pow (fma i 2 alpha) 3)) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ i (pow (fma i 2 alpha) 3))) into (sqrt (/ i (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (pow (fma i 2 alpha) 3)) (+ (* (/ i (pow (fma i 2 alpha) 3)) (/ 0 (pow (fma i 2 alpha) 3))))) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow (fma i 2 alpha) 3)) (* 2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) into (* 1/2 (sqrt (/ 1 (* i (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) into (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))) into (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) into (- (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) (- (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))))) into (- (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* i (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt 0))) into (/ +nan.0 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (fma i 2 alpha) 3)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow (fma i 2 alpha) 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ +nan.0 (fma i 2 alpha))) (* 0 0)) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (fma i 2 alpha)))) 0) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (fma i 2 alpha)))) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* i (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt 0))) into (/ +nan.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ +nan.0 (fma i 2 alpha))) (* 0 0)) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (fma i 2 alpha)))) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (fma i 2 alpha)) into (/ +nan.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ +nan.0 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (- (* +nan.0 (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (- (* +nan.0 (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (- (+ (* +nan.0 (/ i (fma i 2 alpha))) (- (+ (* +nan.0 (/ beta (fma i 2 alpha))) (- (* +nan.0 (/ alpha (fma i 2 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1 (* 1 (/ 1 beta)))) +nan.0)) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) (* 1 (* 1 (/ 1 (- beta))))) +nan.0)) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (351 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * * * [misc]progress:  [ 2 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5)))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5))))))))))))))
* * * * [misc]progress:  [ 3 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5)))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))))))))))))))))
* * * * [misc]progress:  [ 4 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 5 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3)))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3)))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 6 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 7 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 8 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 9 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 10 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (sqr (- (+ (* +nan.0 (/ i (fma i 2 alpha))) (- (+ (* +nan.0 (/ beta (fma i 2 alpha))) (- (* +nan.0 (/ alpha (fma i 2 alpha))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (sqr (- (+ (* +nan.0 (/ i (fma i 2 alpha))) (- (+ (* +nan.0 (/ beta (fma i 2 alpha))) (- (* +nan.0 (/ alpha (fma i 2 alpha))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 11 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (sqr (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (sqr (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 12 / 121 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (sqr (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (sqr (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 13 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (expm1 (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 14 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (log1p (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 15 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))>
* * * * [misc]progress:  [ 16 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (log (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (log (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (346 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ i (+ beta (fma i 2 alpha)))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (- (log (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (log (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (log (/ i (+ beta (fma i 2 alpha)))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (- (log (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (log (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)))))
* * * * [misc]progress:  [ 17 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (log (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (- (+ (log (/ i (+ beta (fma i 2 alpha)))) (log (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (- (+ (log (/ i (+ beta (fma i 2 alpha)))) (log (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 18 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (- (log (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 19 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (367 enodes)
* [exit]simplify:  Simplified to (log (* (/ i (+ beta (fma i 2 alpha))) (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (log (* (/ i (+ beta (fma i 2 alpha))) (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 20 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* [exit]simplify:  Simplified to (exp (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (exp (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 21 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (cube (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cube (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (* (cube (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (* (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (* (/ (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (* (cube (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (* (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 22 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cube (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (288 enodes)
* [exit]simplify:  Simplified to (* (/ (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) (cube (/ i (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (/ (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 23 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* [exit]simplify:  Simplified to (/ (cube (/ (* i (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (/ (* i (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 24 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (cbrt (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 25 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (cube (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (cube (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 26 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (371 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (/ (+ beta (fma i 2 alpha)) i))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (/ (+ beta (fma i 2 alpha)) i))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 27 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 28 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (cbrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cbrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta)))))
* * * * [misc]progress:  [ 29 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (sqrt (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 30 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (371 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (/ (+ beta (fma i 2 alpha)) i))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (/ (+ beta (fma i 2 alpha)) i))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 31 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 32 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 33 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (- (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (- i)) (/ (+ beta (fma i 2 alpha)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (- i)) (/ (+ beta (fma i 2 alpha)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 34 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 35 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 36 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 37 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (/ (+ i (+ alpha beta)) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (/ (+ i (+ alpha beta)) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 38 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (396 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 39 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 40 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (* i (+ alpha (+ i beta))) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (- (* (cube (+ beta (fma i 2 alpha))) (cube (+ beta (fma i 2 alpha)))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (* i (+ alpha (+ i beta))) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (- (* (cube (+ beta (fma i 2 alpha))) (cube (+ beta (fma i 2 alpha)))) (cube 1.0)))
* * * * [misc]progress:  [ 41 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (sqr (+ beta (fma i 2 alpha))) (sqr (+ beta (fma i 2 alpha)))) (* 1.0 1.0)))
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (* (sqr (+ beta (fma i 2 alpha))) (sqr (+ beta (fma i 2 alpha)))) (* 1.0 1.0)))
* * * * [misc]progress:  [ 42 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (sqr (sqrt (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (sqr (sqrt (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 43 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 44 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (sqr (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 45 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* [exit]simplify:  Simplified to (expm1 (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* * * * [misc]progress:  [ 46 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* [exit]simplify:  Simplified to (log1p (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* * * * [misc]progress:  [ 47 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (291 enodes)
* [exit]simplify:  Simplified to (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 48 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (291 enodes)
* [exit]simplify:  Simplified to (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 49 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 50 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (log (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ i beta) alpha) (* alpha beta))) (log (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha))))) (log (/ i (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ i beta) alpha) (* alpha beta))) (log (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha))))) (log (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 51 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (log (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (+ (log (/ i (+ beta (fma i 2 alpha)))) (log (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (+ (log (/ i (+ beta (fma i 2 alpha)))) (log (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 52 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (232 enodes)
* * [misc]simplify:  iters left: 1 (458 enodes)
* [exit]simplify:  Simplified to (log (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (log (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 53 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (exp (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (exp (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 54 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (cube (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cube (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (410 enodes)
* [exit]simplify:  Simplified to (* (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))) (cube (/ i (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 55 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (cube (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (* (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))) (sqr (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))) (sqr (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 56 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* [exit]simplify:  Simplified to (cbrt (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* * * * [misc]progress:  [ 57 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (414 enodes)
* [exit]simplify:  Simplified to (cube (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (cube (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ beta (fma i 2 alpha)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 58 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (cbrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 59 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (fma i (+ alpha (+ i beta)) (* alpha beta))) (cbrt (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (* (cbrt (fma i (+ alpha (+ i beta)) (* alpha beta))) (cbrt (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 60 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) i))))
* * * * [misc]progress:  [ 61 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (sqrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 62 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 63 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (sqr (sqrt (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (sqr (sqrt (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (sqrt (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (255 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha i) (* beta i)) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha i) (* beta i)) (fma i (+ (+ beta alpha) i) (* alpha beta)))
* [enter]simplify:  Simplifying (* (sqr (sqrt (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 64 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 65 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* * * * [misc]progress:  [ 66 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ beta (+ alpha i)) i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (* (+ beta (+ alpha i)) i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* alpha beta)))
* * * * [misc]progress:  [ 67 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (295 enodes)
* [exit]simplify:  Simplified to (* (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ i (- (cube beta) (cube (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (* (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ i (- (cube beta) (cube (fma i 2 alpha)))))
* * * * [misc]progress:  [ 68 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (278 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (/ (* (- beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (/ (* (- beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) i))
* * * * [misc]progress:  [ 69 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 70 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ beta (+ alpha i)) i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (* (+ beta (+ alpha i)) i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* alpha beta)))
* * * * [misc]progress:  [ 71 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (sqr (sqrt (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (sqr (sqrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqr (sqrt (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (296 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ beta alpha) (* i i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ i beta) alpha) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ beta alpha) (* i i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ i beta) alpha) (* alpha beta)))
* * * * [misc]progress:  [ 72 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 73 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log1p (expm1 (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (expm1 (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 74 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (expm1 (log1p (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (log1p (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 75 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (pow (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) 2) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 76 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (pow (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 77 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (log (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (log (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (log (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 78 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log (exp (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (exp (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 79 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (cbrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 80 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (cube (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 81 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 82 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt 1) (sqrt 1))) (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 83 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt 1) 1)) (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 84 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ 1 (sqrt 1))) (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 85 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ 1 1)) (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 86 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr 1) (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqr 1)
* [exit]simplify:  Simplified to (sqr 1)
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 87 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (sqrt (+ (+ beta alpha) i))) (sqr (/ 1 (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (sqrt (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (+ (+ beta alpha) i)
* [exit]simplify:  Simplified to (+ (+ beta alpha) i)
* [enter]simplify:  Simplifying (sqr (/ 1 (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 88 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (pow beta 3) (pow (fma i 2 alpha) 3))))) (sqr (sqrt (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (pow beta 3) (pow (fma i 2 alpha) 3)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) i) (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) i) (- (cube beta) (cube (fma i 2 alpha))))
* [enter]simplify:  Simplifying (sqr (sqrt (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (fma (fma i 2 alpha) (- (fma i 2 alpha) beta) (sqr beta))
* [exit]simplify:  Simplified to (fma (fma i 2 alpha) (- (fma i 2 alpha) beta) (sqr beta))
* * * * [misc]progress:  [ 89 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (sqr beta) (sqr (fma i 2 alpha)))))) (sqr (sqrt (- beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (sqr beta) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (- beta (fma i 2 alpha)))
* [enter]simplify:  Simplifying (sqr (sqrt (- beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (- beta (fma i 2 alpha))
* [exit]simplify:  Simplified to (- beta (fma i 2 alpha))
* * * * [misc]progress:  [ 90 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (sqr (sqrt (+ (+ beta alpha) i))) (sqr (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (sqrt (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (+ (+ beta alpha) i)
* [exit]simplify:  Simplified to (+ (+ beta alpha) i)
* [enter]simplify:  Simplifying (sqr (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* * * * [misc]progress:  [ 91 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 92 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* 1 (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 93 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (log1p (expm1 (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (expm1 (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 94 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (expm1 (log1p (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (log1p (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (log1p (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 95 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (pow (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) 1)) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 96 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (exp (- (log (sqrt (+ (+ beta alpha) i))) (log (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ (+ beta alpha) i))) (log (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ alpha (+ i beta)))) (log (sqrt (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (- (log (sqrt (+ alpha (+ i beta)))) (log (sqrt (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 97 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (exp (log (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (+ alpha (+ i beta))) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (log (/ (sqrt (+ alpha (+ i beta))) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 98 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (log (exp (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (exp (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (exp (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 99 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (cbrt (/ (cube (sqrt (+ (+ beta alpha) i))) (cube (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (sqrt (+ (+ beta alpha) i))) (cube (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ beta (+ alpha i)))))
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ beta (+ alpha i)))))
* * * * [misc]progress:  [ 100 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (cube (cbrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 101 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (cbrt (cube (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ alpha i))) (sqrt (+ beta (fma i 2 alpha)))) (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 102 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (cube (/ (cbrt (sqrt (+ (+ beta alpha) i))) (cbrt (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta alpha) i))) (cbrt (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ i beta)))) (cbrt (sqrt (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ i beta)))) (cbrt (sqrt (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 103 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 104 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqr (sqrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 105 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqr (/ (sqrt (sqrt (+ (+ beta alpha) i))) (sqrt (sqrt (+ beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta alpha) i))) (sqrt (sqrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ i beta)))) (sqrt (sqrt (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ i beta)))) (sqrt (sqrt (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 106 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (- (sqrt (+ (+ beta alpha) i))) (- (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (sqrt (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (- (sqrt (+ (+ beta alpha) i)))
* [enter]simplify:  Simplifying (- (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (- (sqrt (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 107 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 108 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (/ (sqrt 1) 1) (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) 1)
* [exit]simplify:  Simplified to (/ (sqrt 1) 1)
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 109 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (/ 1 (sqrt 1)) (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 110 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (/ 1 1) (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 111 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* 1 (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 112 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (sqrt (+ (+ beta alpha) i)) (/ 1 (sqrt (+ beta (fma i 2 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 113 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ 1 (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ (+ alpha beta) i)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ (+ alpha beta) i)))
* * * * [misc]progress:  [ 114 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (/ (sqrt (+ (+ beta alpha) i)) (sqrt 1)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt 1))
* * * * [misc]progress:  [ 115 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (/ (sqrt (+ (+ beta alpha) i)) 1) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ i beta) alpha)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ i beta) alpha)) 1)
* * * * [misc]progress:  [ 116 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt 1) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ (+ alpha beta) i)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ (+ alpha beta) i)))
* * * * [misc]progress:  [ 117 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ 1 (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ (+ alpha beta) i)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ (+ alpha beta) i)))
* * * * [misc]progress:  [ 118 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (sqrt (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (cube beta) (cube (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (cube beta) (cube (fma i 2 alpha)))))
* * * * [misc]progress:  [ 119 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (sqr beta) (sqr (fma i 2 alpha))))) (sqrt (- beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha i) beta)) (sqrt (* (+ (fma i 2 alpha) beta) (- beta (fma i 2 alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha i) beta)) (sqrt (* (+ (fma i 2 alpha) beta) (- beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 120 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (- (pow (+ beta alpha) 3) (pow i 3))) (* (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* * [misc]simplify:  iters left: 1 (428 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (- (- i beta) alpha) i (* (+ alpha beta) (+ alpha beta)))) (sqrt (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (sqrt (fma (- (- i beta) alpha) i (* (+ alpha beta) (+ alpha beta)))) (sqrt (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 121 / 121 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (- (sqr (+ beta alpha)) (sqr i))) (* (sqrt (+ beta (fma i 2 alpha))) (sqrt (- (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (+ beta (fma i 2 alpha))) (sqrt (- (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ alpha (- beta i))))
* [exit]simplify:  Simplified to (* (sqrt (+ (fma i 2 alpha) beta)) (sqrt (+ alpha (- beta i))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (+ beta i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) into (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (* i (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (fma i 2 alpha)))) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (fma i 2 alpha)) into (* (sqr i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) into (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (* 0 0)) into (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma i 2 alpha)))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* 0 0) (* 0 0))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))) into (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) into (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) 0) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (* 0 0)) into (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (+ (* 0 0) (* 0 0))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* beta (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr i) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (* (sqr i) (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ beta (fma i 2 alpha))) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (sqr (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) into (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) 0) into (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (+ (* (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) (* i (* 1 beta))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 1))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ 0 (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))) (* 0 (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 beta) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) 0) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))))) (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (* beta i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))) (* 0 (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (+ beta i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ beta (fma i 2 alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 beta))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 beta) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (* i (* alpha 1))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) (* i (* 1 1))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (+ beta (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (+ beta (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 beta) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (- (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (sqr (+ (fma i 2 alpha) beta))) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (* (sqr (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* i (fma i 2 alpha)) 2) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))))))
* * * * [misc]progress:  [ 2 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 3 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 4 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ beta alpha) i) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (/ (* i (fma i (+ (+ beta alpha) i) (* alpha beta))) (sqr (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 5 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (fma i (fma (/ 1 i) 2 (/ 1 alpha)) (* i (/ 1 beta))))))
* * * * [misc]progress:  [ 6 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* * * * [misc]progress:  [ 7 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (cbrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (fma (/ i (fma i 2 alpha)) beta (* (/ i (fma i 2 alpha)) (+ i alpha)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 8 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (cbrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ i (* (/ i beta) (+ alpha i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 9 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (cube (cbrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (360 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) (+ i (* (/ i beta) (+ alpha i)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 10 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (+ beta (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (+ beta (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (+ beta (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (+ beta (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (198 enodes)
* * [misc]simplify:  iters left: 2 (399 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* beta i) (+ (fma i 2 alpha) beta)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (+ (fma i 2 alpha) beta)) (* (/ i (+ (fma i 2 alpha) beta)) (+ i alpha)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 11 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ 0 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 0 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 12 / 104 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ 0 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 0 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 13 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (expm1 (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 14 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (log1p (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 15 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))>
* * * * [misc]progress:  [ 16 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (- (log (/ (* i (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (/ (* i (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 17 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (391 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta)))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (log (* (/ (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ alpha (+ i beta)))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 18 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (+ (fma i 2 alpha) beta)) (/ (/ i (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (exp (* (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (+ (fma i 2 alpha) beta)) (/ (/ i (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 19 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (cbrt (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 21 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (cube (* (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 22 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 23 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (sqrt (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 24 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 25 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (- (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* * [misc]simplify:  iters left: 1 (377 enodes)
* [exit]simplify:  Simplified to (* (/ (- (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ (- (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 26 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) 1) (/ (cube (cbrt (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))
* [exit]simplify:  Simplified to (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (403 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 27 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (cube 1) 1) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (cube 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (* (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 28 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 1) (/ (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ alpha i) beta) (* alpha beta))))) 1)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ alpha i) beta) (* alpha beta))))) 1)
* [enter]simplify:  Simplifying (/ (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 29 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 1) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (* (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 30 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 31 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 32 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i) (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))) (+ i (+ alpha beta))))
* [exit]simplify:  Simplified to (* (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i) (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))) (+ i (+ alpha beta))))
* * * * [misc]progress:  [ 33 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 34 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (/ i (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (489 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 35 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube 1) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i) (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))) (+ i (+ alpha beta))))
* [exit]simplify:  Simplified to (* (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i) (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))) (+ i (+ alpha beta))))
* * * * [misc]progress:  [ 36 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (255 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ i (+ alpha beta)))))) (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ i (+ alpha beta))))))))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ i (+ alpha beta)))))) (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) (+ i (+ alpha beta))))))))
* * * * [misc]progress:  [ 37 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i) (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))) (+ i (+ alpha beta))))
* [exit]simplify:  Simplified to (* (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i) (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))) (+ i (+ alpha beta))))
* * * * [misc]progress:  [ 38 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 39 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (218 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 40 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 41 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 42 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (cube (cbrt (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 43 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (log1p (expm1 (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (expm1 (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (expm1 (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 44 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (expm1 (log1p (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (log1p (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log1p (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 45 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1/3)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 46 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (pow (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 1)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 47 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (exp (log (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (log (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 48 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (log (exp (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (exp (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 49 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (cbrt (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 50 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (/ (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)) (cbrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (fma i (+ beta alpha) (* i i))))
* [exit]simplify:  Simplified to (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (fma i (+ beta alpha) (* i i))))
* [enter]simplify:  Simplifying (cbrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 51 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)) (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (fma i (+ i beta) (* i alpha)) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (cbrt (* (/ (fma i (+ i beta) (* i alpha)) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [enter]simplify:  Simplifying (cbrt (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (cbrt (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 52 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (/ (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (280 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (fma (+ alpha i) i (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (cbrt (* (/ (fma (+ alpha i) i (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [enter]simplify:  Simplifying (cbrt (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (cbrt (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 53 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cube (cbrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cbrt (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 54 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 55 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 56 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* 1 (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 57 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 58 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 59 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 60 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 61 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 62 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 63 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 64 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 65 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 66 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 67 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 68 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 69 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 70 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 71 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 72 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 73 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 74 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 75 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 76 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 77 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 78 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 79 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 80 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 81 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 82 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 83 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 84 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 85 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 86 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 88 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 89 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (expm1 (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 90 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log1p (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 91 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) 3) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 92 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 93 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (290 enodes)
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 94 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (pow (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (pow (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 95 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (cbrt (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 96 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (+ (fma i 2 alpha) beta)) (/ (+ (+ beta alpha) i) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (cube (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (+ (fma i 2 alpha) beta)) (/ (+ (+ beta alpha) i) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 97 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))))) (cube (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (cube (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ i (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ i (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 98 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cube 1) (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cube 1)
* [exit]simplify:  Simplified to (cube 1)
* [enter]simplify:  Simplifying (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 99 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (cube (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))) (cube (cbrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (fma (+ i beta) i (* i alpha)) (fma i (+ (+ i beta) alpha) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ i beta) i (* i alpha)) (fma i (+ (+ i beta) alpha) (* alpha beta)))
* [enter]simplify:  Simplifying (cube (cbrt (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 100 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i))) (cube (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (* (* (+ beta (+ alpha i)) i) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (* (+ beta (+ alpha i)) i) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (cube (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* * * * [misc]progress:  [ 101 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (cube (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (cube (cbrt (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (cbrt (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (fma (+ alpha i) i (* beta i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (fma (+ alpha i) i (* beta i)) (+ beta (fma i 2 alpha))))
* [enter]simplify:  Simplifying (cube (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* [exit]simplify:  Simplified to (+ (fma i 2 alpha) beta)
* * * * [misc]progress:  [ 102 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (sqr (cbrt (* (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (sqr (cbrt (* (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 103 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (sqrt (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 104 / 104 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 14
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 5)))) (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 4)))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 5)))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 4)))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1 (* 1 (/ 1 beta)))) +nan.0)) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) (* 1 (* 1 (/ 1 (- beta))))) +nan.0)) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ alpha i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ i (fma i 2 alpha))) into (sqrt (/ i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt 0))) into (/ +nan.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* i (fma i 2 alpha))) into (/ 1 (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* i (fma i 2 alpha)))) into (sqrt (/ 1 (* i (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* i (fma i 2 alpha))) (/ (fma i 2 alpha) (* i (fma i 2 alpha)))))) into (- (/ 1 (* (sqr i) (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (* (sqr i) (fma i 2 alpha)))) (* 2 (sqrt (/ 1 (* i (fma i 2 alpha)))))) into (* -1/2 (sqrt (/ 1 (* (pow i 3) (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (pow (fma i 2 alpha) 3)) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ i (pow (fma i 2 alpha) 3))) into (sqrt (/ i (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (pow (fma i 2 alpha) 3)) (+ (* (/ i (pow (fma i 2 alpha) 3)) (/ 0 (pow (fma i 2 alpha) 3))))) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow (fma i 2 alpha) 3)) (* 2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) into (* 1/2 (sqrt (/ 1 (* i (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) into (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))) into (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) into (- (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) (- (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))))) into (- (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* i (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt 0))) into (/ +nan.0 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ i (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (fma i 2 alpha) 3)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow (fma i 2 alpha) 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ +nan.0 (fma i 2 alpha))) (* 0 0)) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (fma i 2 alpha)))) 0) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (fma i 2 alpha)))) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* i (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* i (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (fma i 2 alpha)) (* 2 (sqrt 0))) into (/ +nan.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ +nan.0 (fma i 2 alpha))) (* 0 0)) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (fma i 2 alpha)))) into (- (* +nan.0 (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (fma i 2 alpha)) into (/ +nan.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ +nan.0 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (- (* +nan.0 (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (- (* +nan.0 (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (- (+ (* +nan.0 (/ i (fma i 2 alpha))) (- (+ (* +nan.0 (/ beta (fma i 2 alpha))) (- (* +nan.0 (/ alpha (fma i 2 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1 (* 1 (/ 1 beta)))) +nan.0)) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) (* 1 (* 1 (/ 1 (- beta))))) +nan.0)) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))
* * * [misc]progress:  tayloring alt 2 of 14
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* * * [misc]progress:  tayloring alt 3 of 14
* * * [misc]progress:  tayloring alt 4 of 14
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) 1)) (pow (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (- (/ i (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ i (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i 2 alpha) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4)))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ i (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 4)) into (* (sqr i) (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 5)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 5)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 5))) into (pow (fma i 2 alpha) 5)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 5) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 5) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 5)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 5)) into (* i (pow (fma i 2 alpha) 5))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 4)))) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 32.0 in alpha
* [misc]backup-simplify:  Simplify 32.0 into 32.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 4)) into (* (sqr i) (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 3) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4)))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16 in alpha
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 4)))) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 6)) into (* (sqr i) (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 6)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 6)))) into (pow (fma i 2 alpha) 6)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 6) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 6))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 6)) into (* i (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 6)))) into (* i (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 6)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 8.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ 4.0 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 6 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ 4.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1.0 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))))) into (- (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (* 1/2 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) into (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 6 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) (/ 0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8.0 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (- (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) into (/ 4.0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (/ 4.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 4.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) 0) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ 1.0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) 0) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))) into (- (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 0 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))))) (* 0 (- (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))))) into (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) (sqr (* 1 (* 1 beta)))) (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* 1 beta))) (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 2)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) into (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr i)) 0) into (/ 1 (sqr i))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr i))) into (/ 1 (sqr i))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr i))) into (- (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (- (/ 1 (sqr i)))) into (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 i)) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 i)) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 i))) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 i))) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ 1 i)))) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (/ 1 (sqr i)))) (+ (* 0 (- (* 2 (/ 1 i)))) (* 0 -1))) into (- (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 1/2 (/ 1 (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 1/2 (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) 0) into (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (* 2 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (* 1 (* 1 (/ 1 beta)))) (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (- (+ (* 2 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))))) (+ (log i) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 1) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) into (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 4 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 4 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 4 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 2)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (- (+ (/ 1 (sqr i)) (* 6 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into (- (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 i)) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 i))) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 i))) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i))) into (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i)))) into (- (+ (* 2 (/ 1 i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* 2 (/ 1 i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 4 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 1 (sqr i)))) (+ (* 0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (/ 1 i))))) (* 0 -1))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 1/2 (/ 1 (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 1/2 (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 0) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 2 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1 (* 1 (/ 1 (- beta))))) (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 3 (log beta)) (* 2 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta)))))) (+ (log i) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]approximate:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))
* [misc]backup-simplify:  Simplify (exp (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into (exp (+ (log i) (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (exp (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (* (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* (/ (pow (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1) 1)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) 0) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1.0 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (- (sqr (fma i 2 alpha)) 1.0)) 0) into (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (- (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (- (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) 0) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) 1) (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) 0) (* 0 0))) into (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 0 0) (* 0 0))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (- (/ i (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ i (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (* (exp (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* (/ (pow (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))))) 1) 1)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ i (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 3 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) into (- (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (- (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) i) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) i)) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* i (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3.0 in i
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3.0 in i
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (/ 2.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 3 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 3.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) into (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (- (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) into (- (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) 0) (* (- (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 0 (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3.0 0) (* 0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3.0 0) (* 0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (/ 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (- (+ (* 3 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) 0) (* 0 0))) into (- (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (- (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))) (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (* 1.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 1.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (* 0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (sqr (fma i 2 alpha)) 1.0) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (- (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (- (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (- (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (- (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ (- (sqr (fma i 2 alpha)) 1.0) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (sqr (fma i 2 alpha)) 1.0) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) (* 0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (* 0 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))) into (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))) (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))) (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) 0) (* (- (+ (* 1.0 (/ 1 (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 2.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (/ (sqr (fma i 2 alpha)) (* (sqr i) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) i)) into (- (+ (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 5) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (+ (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (pow (fma i 2 alpha) 7) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 6.0 (/ (pow (fma i 2 alpha) 5) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (* 0 (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 7)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 7)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) i)))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 7))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 7))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))))))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (sqr i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 5))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 5)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 5)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 5))) into (pow (fma i 2 alpha) 5)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 5)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)) into (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 5)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i)))) into (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 2 (log i))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha))) into (exp (- (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (log alpha)))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) 1) 1)))) into (* (- (+ (/ 1 i) (/ 1 alpha)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ 1 i) (/ 1 alpha)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 i) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) into (- (/ (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) (* 4 (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) (* 4 (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 1) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 4 (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 2)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i)))))))
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow (- (+ (/ 1 alpha) (/ 1 i)) (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 4 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 2.0) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (* 2 (/ 1 (* alpha i))))))) 1) 1)))) into (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))))
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) into (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) into (- (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))
* [misc]backup-simplify:  Simplify (+ (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (- (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))) into (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (- (+ (* 10 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))) (* 0 (- (* 4 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 4 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 4 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (+ (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) into (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1.0 (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (* 4 (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 1 (* 1 (/ 1 beta)))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (- (+ (* 1.0 (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (+ (* 10 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) beta)))
* [misc]approximate:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log i)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i)))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i)))) into (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 2 (log i))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha))
* [misc]backup-simplify:  Simplify (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha))) into (exp (- (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (log alpha)))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (log i))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 1) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* (/ (pow (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) 1) 1)))) into (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i)) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) into (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* 4 (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i))) (* 0 1)) into (+ (* 4 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 1) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ -1 i) 2 (/ -1 alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) 0) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))) 2)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* (/ (pow (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 alpha) (+ (/ 1 i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr i)) (+ (* 2 (/ 1 (* alpha i))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 2 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) 1) 1)))) into (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) into (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) into (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 7 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (exp (+ (* 3 (log beta)) (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 10 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) (* 0 (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (+ (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ -1 i) 2 (/ -1 alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (exp (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (log (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (- (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (log i)) (* 3 (log beta))) into (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) into (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) into (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) 0) into (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))
* [misc]backup-simplify:  Simplify (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into (+ (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))) into (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 10 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1.0 (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 1 (* 1 (/ 1 (- beta))))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) into (- (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (sqr beta))) (+ (* 1.0 (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) beta)))
* * * [misc]progress:  tayloring alt 5 of 14
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha)))) (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha)))) (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha)))) (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha)))) (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (+ alpha i))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (+ alpha i))) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) into (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))) into (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (+ alpha i))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (+ alpha i))) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha))))) into (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))) into (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) 0) (* 0 (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) 0) (* 0 (cube (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (/ 0 (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cube (+ beta (+ alpha i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) 0) (* 0 (cube (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (+ (* (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cube (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ beta (+ alpha i))) 0) (* 0 (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) 0) (* 0 (cube (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (+ (* (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cube (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (/ 0 (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (+ (* 0 0) (* 0 (cube (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) 0) (+ (* 0 0) (* 0 (cube (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (+ (* (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) (* 0 (/ 0 (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (* 0 (/ 0 (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) into (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) into (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) 0) (* 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) 0) (* 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) 0) (+ (* 0 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) 0) (+ (* 0 0) (* 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* 0 (/ 0 (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (+ alpha i))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (+ alpha i))) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (+ alpha i))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (+ alpha i))) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in i
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cube (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cube (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ beta alpha) i)) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) into (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) (cube (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (+ beta (+ alpha i))) (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (+ alpha i))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (+ alpha i))) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) into (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (cube (+ beta (fma i 2 alpha)))) into (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (cube (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (cube (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (/ i (+ beta (fma i 2 alpha)))) into (cube (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (+ alpha i))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (+ alpha i))) into (cube (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cube (+ beta (fma i 2 alpha))) into (cube (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) into (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha)))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha)))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) 0) (* 0 (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) 0) (* 0 (cube (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cube (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ beta (+ alpha i))) 0) (* 0 (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cube (+ beta (+ alpha i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (* (cube (+ beta (+ alpha i))) (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i)))) (cube (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cube (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cube (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ beta (+ alpha i))) 0) (+ (* 0 0) (* 0 (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ beta (fma i 2 alpha)))) (+ (* (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (cube (+ beta (fma i 2 alpha)))) (/ 0 (cube (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cube (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha)))) into (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in i
* [misc]backup-simplify:  Simplify (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* * * [misc]progress:  tayloring alt 6 of 14
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i)) in alpha
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i)) in beta
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]approximate:  Taking taylor expansion of (/ i (* beta beta)) in (i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ i (* beta beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (/ i (* beta beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ i (* beta beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (sqr beta)) i)) into (/ i (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in (i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr beta))) into (sqr beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr beta))) into (sqr beta)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (sqr beta) (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (sqr beta) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (sqr beta) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (sqr (/ 1 beta)) (/ 1 (/ 1 i)))) into (/ i (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in (i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) 1) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ -1 (/ 1 (sqr beta))) into (* -1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ -1 (/ 1 (sqr beta))) into (* -1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (* -1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (+ (* 0 0) (* 0 0))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 (/ -1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (* -1 (sqr beta)) (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (* -1 (sqr beta)) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (* -1 (sqr beta)) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) into (/ i (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (pow beta 4) i) in (beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (pow beta 4) 1) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 i) (pow beta 4))) into (/ (pow beta 4) i)
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in (beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) 1) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log beta))) into (* -4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* -4 (log beta))) into (pow beta -4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow beta -4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log beta))) into (* -4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* -4 (log beta))) into (pow beta -4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow beta -4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ i (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (- (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 i)) (+ (* (/ i (pow beta 4)) (/ 0 (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ 1 (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 i)) (+ (* (/ i (pow beta 4)) (/ 0 (/ 1 i))) (* 0 (/ 0 (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ 1 (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 i)) (+ (* (/ i (pow beta 4)) (/ 0 (/ 1 i))) (* 0 (/ 0 (/ 1 i))) (* 0 (/ 0 (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow beta 4)) (* (/ 1 i) 1)) into (/ 1 (* (pow beta 4) i))
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in (beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) -1) into (/ -1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (exp (* 4 (- (log -1) (log beta)))) (/ -1 i)) into (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (exp (* 4 (- (log -1) (log beta)))) (/ -1 i)) into (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (exp (* 4 (- (log -1) (log beta)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (- (log -1) (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log -1) (log beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log beta)) in i
* [misc]taylor:  Taking taylor expansion of (log -1) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (- (log beta)) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log beta))) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (- (log -1) (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 4 (- (log -1) (log beta)))) 1) (* 0 0)) into (exp (* 4 (- (log -1) (log beta))))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (exp (* 4 (- (log -1) (log beta))))) (* 0 0)) into (- (exp (* 4 (- (log -1) (log beta)))))
* [misc]backup-simplify:  Simplify (- (exp (* 4 (- (log -1) (log beta))))) into (- (exp (* 4 (- (log -1) (log beta)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (- (log -1) (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 i)) (+ (* (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) (/ 0 (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 4 (- (log -1) (log beta)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 (exp (* 4 (- (log -1) (log beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 i)) (+ (* (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) (/ 0 (/ -1 i))) (* 0 (/ 0 (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 4 (- (log -1) (log beta)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (exp (* 4 (- (log -1) (log beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 i)) (+ (* (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) (/ 0 (/ -1 i))) (* 0 (/ 0 (/ -1 i))) (* 0 (/ 0 (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- (exp (* 4 (- (log -1) (log beta))))) (* (/ 1 (- i)) 1)) into (/ (exp (* 4 (- (log -1) (log beta)))) i)
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ i alpha) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (pow beta 4) i) into (/ (pow beta 4) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ i alpha) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ i alpha) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ i alpha) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) alpha) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) (pow beta 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) 1) (* 0 alpha)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) 0) (+ (* 0 1) (* 0 alpha))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow beta 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow beta 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow beta 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow beta 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (pow beta -4) (* alpha i))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (sqr beta)) (* 1 i))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log beta))) into (* -4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* -4 (log beta))) into (pow beta -4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow beta -4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ i (pow beta 4))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ i (pow beta 4))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) 1) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (pow beta 4))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) 1) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (pow beta 4))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) 1) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 beta) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ 1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (pow beta 4)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (pow beta 4))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 (/ 1 (pow beta 4)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 1 alpha)) (* 0 1)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) 1) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 beta) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ 1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (pow beta 4)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (pow beta 4))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 (/ 1 (pow beta 4)))) (* 0 (/ 0 (/ 1 (pow beta 4)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) 0) (+ (* 0 (/ 1 alpha)) (* 0 1))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (pow beta 4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (pow beta 4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 beta) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 beta) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ 1 beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (pow beta 4)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (pow beta 4))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 (/ 1 (pow beta 4)))) (* 0 (/ 0 (/ 1 (pow beta 4)))) (* 0 (/ 0 (/ 1 (pow beta 4)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) 0) (+ (* 0 0) (+ (* 0 (/ 1 alpha)) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 (pow beta 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 (pow beta 4)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (exp (* 4 (- (log -1) (log beta)))) (/ -1 i)) into (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))) into (* -1 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (exp (* 4 (- (log -1) (log beta)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- i)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) (/ -1 i)) into (* -1 (/ i (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* -1 (/ i (pow beta 4)))) into (* -1 (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- i)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) -1) into (/ -1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 (pow beta 4))) into (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- i)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) -1) into (/ -1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 (pow beta 4))) into (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- i)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) -1) into (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 beta) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ -1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ -1 (pow beta 4)) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (pow beta 4))) (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 (pow beta 4)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (/ 1 alpha))) (* 0 -1)) into (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) 1) into (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 beta) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ -1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ -1 (pow beta 4)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (pow beta 4))) (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 (pow beta 4)))) (* 0 (/ 0 (/ -1 (pow beta 4)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 0) (+ (* 0 (- (/ 1 alpha))) (* 0 -1))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -1 beta) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ -1 beta) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -1 beta) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ -1 beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ -1 (pow beta 4)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (pow beta 4))) (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 (pow beta 4)))) (* 0 (/ 0 (/ -1 (pow beta 4)))) (* 0 (/ 0 (/ -1 (pow beta 4)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 alpha))) (* 0 -1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  tayloring alt 7 of 14
* [misc]approximate:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (+ beta i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) into (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (* i (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (fma i 2 alpha)))) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (fma i 2 alpha)) into (* (sqr i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) into (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (* 0 0)) into (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma i 2 alpha)))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* 0 0) (* 0 0))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))) into (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) into (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) 0) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (* 0 0)) into (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (+ (* 0 0) (* 0 0))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* beta (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr i) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (* (sqr i) (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ beta (fma i 2 alpha))) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (sqr (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) into (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) 0) into (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (+ (* (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) (* i (* 1 beta))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 1))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ 0 (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))) (* 0 (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 beta) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) 0) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))))) (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (* beta i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))) (* 0 (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (+ beta i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ beta (fma i 2 alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 beta))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 beta) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) (/ 0 (sqr (+ beta (fma i 2 alpha))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (* i (* alpha 1))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (+ beta (fma i 2 alpha)))) (* i (* 1 1))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (+ beta (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (+ beta (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 beta) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  tayloring alt 8 of 14
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in beta
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in alpha
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ alpha i) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in i
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ alpha i) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in i
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ alpha i) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ alpha i) i) in alpha
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ alpha i) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (* beta (fma i 2 alpha)) into (* beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (* beta (fma i 2 alpha))) into (* 2 (* beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (sqr beta)) into (+ (sqr (fma i 2 alpha)) (sqr beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ alpha i) i) in beta
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ alpha i) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) 0) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma i 2 alpha))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) (* 0 0)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 2 (fma i 2 alpha))) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) 0) (* 0 (fma (/ i beta) (+ alpha i) i))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ i beta) (+ alpha i) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ i beta) (+ alpha i) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (fma i 2 alpha)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 (* 2 (fma i 2 alpha))) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (* 0 (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (* beta (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (fma i 2 alpha)) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (+ (* 0 (* 2 (fma i 2 alpha))) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* beta (* 1 1))) (+ (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ 1 beta) (* 1 1))))) into (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (sqr (fma i 2 alpha)) 1.0))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (fma (/ i beta) (+ alpha i) i) (sqr (fma i 2 alpha))))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (fma (/ i beta) (+ alpha i) i))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) 1) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) into (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) into (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) in beta
* [misc]backup-simplify:  Simplify (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (* 0 0)) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) 1) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) 0) (* 0 (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (/ 0 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (/ 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 2 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* 2 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) 0) (+ (* 0 0) (* 0 (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (/ 0 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (/ 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 2 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 4 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))) (* 1.0 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))) (* 1.0 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* 1.0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (* 4 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1.0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (* 4 (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))) (pow (* (/ 1 beta) (* 1 1)) 5)) (+ (* (- (* 2 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))))) (pow (* (/ 1 beta) (* 1 1)) 4)) (* (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow (* (/ 1 beta) (* 1 1)) 3)))) into (- (+ (* 1.0 (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow beta 5))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (pow beta 5))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (pow beta 3)))) (+ (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (pow beta 5)) (* 2 (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (pow beta 4)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) -1) into (* -1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* -1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 1) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 beta)) into (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 beta)) into (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 beta)) into (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (- (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) into (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) in beta
* [misc]backup-simplify:  Simplify (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) 1) into (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 0) (* 0 (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (- (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into (- (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 0) (+ (* 0 0) (* 0 (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* (* -1 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) (+ (* 0 (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into (- (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into (- (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) (pow (* (/ 1 (- beta)) (* 1 1)) 5)) (+ (* (- (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) (pow (* (/ 1 (- beta)) (* 1 1)) 4)) (* (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow (* (/ 1 (- beta)) (* 1 1)) 3)))) into (- (+ (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (pow beta 3)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 5))) (* 1.0 (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (pow beta 5))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in beta
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in alpha
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in i
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ i alpha) i) in i
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ i alpha) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ alpha i) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ alpha i) i) in alpha
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ alpha i) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ i beta) (+ alpha i) i) in beta
* [misc]backup-simplify:  Simplify (fma (/ i beta) (+ alpha i) i) into (fma (/ i beta) (+ alpha i) i)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i))
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) 0) (* 0 (fma (/ i beta) (+ alpha i) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ i beta) (+ alpha i) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ i beta) (+ alpha i) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ i beta) (+ alpha i) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* (/ 1 beta) (* 1 1))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta)
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 i) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]backup-simplify:  Simplify (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (* (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]backup-simplify:  Simplify (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) into (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) 0) (* 0 (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) 0) (+ (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) 0) (+ (* 0 0) (* 0 (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)) 0) (+ (* 0 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (* (/ 1 beta) (* 1 1))) into (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) beta)
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) -1) into (* -1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 beta)) into (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 beta)) into (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 beta)) into (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (/ 1 (- i))) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]backup-simplify:  Simplify (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))) into (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (* -1 (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) in beta
* [misc]backup-simplify:  Simplify (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) into (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* 0 0)) into (- (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (- (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 0) (* 0 (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (* 0 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) 0) (+ (* 0 0) (* 0 (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) 0) (+ (* 0 0) (* 0 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* beta (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* (/ 1 (- beta)) (* 1 1))) into (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) beta)
* [misc]approximate:  Taking taylor expansion of (/ 1 (* beta alpha)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* * * [misc]progress:  tayloring alt 9 of 14
* [misc]approximate:  Taking taylor expansion of (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) i)
* [misc]backup-simplify:  Simplify (+ (/ i beta) 0) into (/ i beta)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ i beta)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta)) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) i)) into (/ (* (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (sqr (fma i 2 alpha)) 1.0) (/ i (fma i 2 alpha))) into (/ (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) i)
* [misc]backup-simplify:  Simplify (+ i alpha) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ alpha i)) into (* (+ alpha i) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (+ alpha i) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (/ (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) i)) into (/ (* i (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* (- (sqr (fma i 2 alpha)) 1.0) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (/ 1 (+ beta (fma i 2 alpha)))) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha beta)) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ alpha beta)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)) into (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))
* [misc]backup-simplify:  Simplify (/ (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta)) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (/ 1 (+ beta (fma i 2 alpha)))) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha beta)) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ alpha beta)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)) into (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))
* [misc]backup-simplify:  Simplify (/ (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta)) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) 1) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) 0) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) 0) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma i 2 alpha))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 1 beta)) (* 0 (/ alpha beta))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ beta (fma i 2 alpha)))) (+ (* (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (/ 0 (/ 1 (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) 0) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma i 2 alpha))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) (* 0 0)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) (* 2 (fma i 2 alpha))) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 3 (sqr (fma i 2 alpha))) 1.0)) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 1.0 (fma i 2 alpha)) into (* 1.0 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (* 1.0 (fma i 2 alpha))) into (- (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (pow (fma i 2 alpha) 3) (- (* 1.0 (fma i 2 alpha)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) (* 0 0)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) (* 2 (fma i 2 alpha))) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (* 3 (sqr (fma i 2 alpha))) 1.0) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 3 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* 3 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* alpha (* (/ 1 beta) i))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 1 (* 1 i))) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (* 1 (* (/ 1 beta) (sqr i)))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) (* beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))) beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) i))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) beta) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) i))) into (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) i)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) beta) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) beta) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ beta alpha)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ beta alpha)) (* 0 beta)) into (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)) into (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* alpha 1) into alpha
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha)
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (/ beta alpha) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (- (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha)) into (- (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr (* 1 (* (sqr (/ 1 beta)) (/ 1 (/ 1 i)))))) (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* 1 (* (pow (/ 1 beta) 3) (/ 1 (/ 1 i))))) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 alpha)) (* (pow (/ 1 beta) 4) (/ 1 (/ 1 i))))))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (pow beta 4)) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (pow beta 3)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) -1) into (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ beta alpha)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ beta alpha)) (* 0 beta)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha)
* [misc]backup-simplify:  Simplify (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha)) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) -1) into (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* alpha 1) into alpha
* [misc]backup-simplify:  Simplify (* -1 alpha) into (* -1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* -1 alpha)) into (* -1 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) into (- (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (- (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* -1 (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (/ beta alpha) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (* (fma (/ -1 i) 2 (/ -1 alpha)) 1)) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) -1)))) into (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* -1 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (* (fma (/ -1 i) 2 (/ -1 alpha)) 1)) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) -1)))) into (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* 0 (* -1 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (* 1 (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i))))))) (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* 1 (* (pow (/ 1 (- beta)) 3) (/ 1 (/ 1 (- i)))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 (- alpha))) (* (pow (/ 1 (- beta)) 4) (/ 1 (/ 1 (- i)))))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow beta 3)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow beta 4)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha beta)) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ alpha beta)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)) into (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) 1) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 1 beta)) (* 0 (/ alpha beta))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (* (/ 1 beta) 1))) (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 beta) i))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) beta) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ beta alpha)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ beta alpha)) (* 0 beta)) into (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)) into (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha)
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (/ beta alpha) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* 1 (* (/ 1 beta) (/ 1 (/ 1 i))))) (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 alpha)) (* (/ 1 beta) 1))))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) beta) (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) beta)))
* [misc]approximate:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ beta alpha)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ beta alpha)) (* 0 beta)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha)
* [misc]backup-simplify:  Simplify (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha)) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (/ beta alpha) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i)))))) (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 (- alpha))) (* (/ 1 (- beta)) 1))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) beta) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) beta) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (/ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha beta)) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ alpha beta)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) 1) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 1 beta)) (* 0 (/ alpha beta))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (/ 1 beta)) (* 0 (/ alpha beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 (/ 1 beta)) (* 0 (/ alpha beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (* (/ 1 beta) 1))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* 1 (* (/ 1 beta) i)))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))
* [misc]approximate:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 beta))) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 alpha) (/ 1 beta)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (/ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) beta) into (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ beta alpha)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ beta alpha)) (* 0 beta)) into (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (/ beta alpha) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (/ beta alpha) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 (/ beta alpha)) (* 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* 1 (* (/ 1 beta) (/ 1 (/ 1 i))))) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 alpha)) (* (/ 1 beta) 1)))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) beta) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) beta))
* [misc]approximate:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- beta)))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (/ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ beta alpha)) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ beta alpha)) (* 0 beta)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (/ beta alpha) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (/ beta alpha) (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 (/ beta alpha)) (* 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i)))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 (- alpha))) (* (/ 1 (- beta)) 1)))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) beta) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) beta))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* alpha beta)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 beta) (/ 1 alpha))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 alpha) (/ 1 beta))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 beta) (/ 1 alpha))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) into (/ 1 (* beta alpha))
* * * [misc]progress:  tayloring alt 10 of 14
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (+ alpha i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (+ alpha i))) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))))
* [misc]backup-simplify:  Simplify (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (+ alpha i))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (+ alpha i))) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))))
* [misc]backup-simplify:  Simplify (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (+ beta (+ alpha i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ beta (fma i 2 alpha))) 0) (* 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (+ (* (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cbrt (+ beta (+ alpha i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ beta (fma i 2 alpha))) 0) (* 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (+ (* 0 0) (* 0 (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ beta (fma i 2 alpha))) 0) (+ (* 0 0) (* 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (+ (* (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))) (* 0 (/ 0 (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) 0) (* 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) 0) (* 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) 0) (+ (* 0 0) (* 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 0 (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) 0) (* 0 (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) 0) (* 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) 0) (+ (* 0 0) (* 0 (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) 0) (+ (* 0 0) (* 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 0 (/ 0 (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ beta alpha) i)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ beta alpha) i)) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (+ alpha i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (+ alpha i))) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (+ alpha i))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (+ alpha i))) into (cbrt (+ beta (+ alpha i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cbrt (+ beta (+ alpha i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (+ beta (+ alpha i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i)))) (cbrt (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (+ (* 0 0) (* 0 (cbrt (+ beta (+ alpha i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ beta (fma i 2 alpha)))) (+ (* (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (/ 0 (cbrt (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (cbrt (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (* 0 (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) into (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (+ (* 0 0) (* 0 (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* * * [misc]progress:  tayloring alt 11 of 14
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]approximate:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (+ (* 0 0) (* 0 (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (+ (* 0 0) (* 0 (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) into (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (+ (* 0 0) (* 0 (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* * * [misc]progress:  tayloring alt 12 of 14
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (sqr (fma i 2 alpha)) 1.0) (/ i (fma i 2 alpha))) into (/ (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) i)) into (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) i)) into (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (/ 1 (+ beta (fma i 2 alpha)))) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (/ 1 (+ beta (fma i 2 alpha)))) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta (fma i 2 alpha)) into (* beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (* beta (fma i 2 alpha))) into (* 2 (* beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (sqr beta)) into (+ (sqr (fma i 2 alpha)) (sqr beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) 0) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma i 2 alpha))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ beta (fma i 2 alpha)))) (+ (* (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (/ 0 (/ 1 (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) (* 0 0)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) (* 2 (fma i 2 alpha))) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (* 3 (sqr (fma i 2 alpha))) 1.0) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ beta (fma i 2 alpha)))) (+ (* (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (/ 0 (/ 1 (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (/ 1 (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* 0 (/ 0 (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (fma i 2 alpha)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (+ (* 1 (* 2 (fma i 2 alpha))) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 3 (fma i 2 alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (* (- (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (- (* 3 (sqr (fma i 2 alpha))) 1.0) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 9 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 9 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) into (- (+ (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 9 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 9 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 6.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (* (sqr beta) (* 1 i))) (+ (* (- (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* beta (* 1 i))) (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 1 (* 1 i))))) into (- (+ (* 1.0 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* beta (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 9 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (* 3 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 3 (/ (* beta (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i) into (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) i))
* [misc]backup-simplify:  Simplify (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) i))) into (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) i)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) into (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) into (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) 1) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))) (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 3 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* 3 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 3 (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (+ (* (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) (* 0 (/ 0 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0))) (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (* 0 1))) into (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) 1)) (* (- (* 3 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 9 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* 1.0 (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* 3 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 9 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* 1.0 (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* 3 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* 1.0 (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 9 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1.0 (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 9 (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (pow (/ 1 beta) 5) (* 1 (/ 1 (/ 1 i))))) (+ (* (- (* 3 (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (pow (/ 1 beta) 4) (* 1 (/ 1 (/ 1 i))))) (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (/ 1 beta) 3) (* 1 (/ 1 (/ 1 i))))))) into (- (+ (* 1.0 (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (pow beta 5))) (+ (* 9 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i)) (pow beta 5))) (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (pow beta 3)))) (+ (* 3 (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (* 3 (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4)))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) into (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) -1) into (* -1 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (* -1 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (* (fma (/ -1 i) 2 (/ -1 alpha)) 1)) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) -1)))) into (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) (* 0 (* -1 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+ (* (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* 0 (/ 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (* -1 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 0 (/ 0 (* -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (+ (* (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (* 0 (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 1))) into (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) -1)) (* (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) -1)))) into (- (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) (+ (* 0 (- (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) (* 0 (* -1 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) into (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* 1.0 (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* (pow (/ 1 (- beta)) 5) (* 1 (/ 1 (/ 1 (- i)))))) (+ (* (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* (pow (/ 1 (- beta)) 4) (* 1 (/ 1 (/ 1 (- i)))))) (* (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* (pow (/ 1 (- beta)) 3) (* 1 (/ 1 (/ 1 (- i)))))))) into (- (+ (* 1.0 (/ (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 5))) (+ (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (pow beta 5))) (/ (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 3)))) (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (+ (/ 1 (- i)) (/ 1 (- alpha))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* beta alpha)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* beta alpha)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (/ 1 (* beta alpha))
* * * [misc]progress:  tayloring alt 13 of 14
* [misc]approximate:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (+ beta i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) into (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (* i (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (fma i 2 alpha)))) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (fma i 2 alpha)) into (* (sqr i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) into (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (* 0 0)) into (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma i 2 alpha)))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* 0 0) (* 0 0))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (+ (* 2 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))) into (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) into (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) 0) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (- (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* beta (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (* 0 0)) into (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* beta (* (sqr (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (pow (- (sqr (fma i 2 alpha)) 1.0) 3) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (+ (* 0 0) (* 0 0))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* beta (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* beta (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr i) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (* (sqr i) (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ beta (fma i 2 alpha))) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* (sqr (+ beta (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (sqr (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) into (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))) 0) into (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) into (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (+ (* (- (* 2 (/ (* beta (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha))))))) (* i (* 1 beta))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 1))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in i
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in beta
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) in beta
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) into (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (+ (* 0 0) (* 0 0))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (* 0 (/ 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ 0 (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta))))) (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))) (* 0 (/ 0 (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) beta)) (/ i (sqr beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) in i
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) in beta
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) in beta
* [misc]backup-simplify:  Simplify (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) beta)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 beta) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (* 0 0)) into (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) 0) into (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) into (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 i) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))))) (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) into (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (* 0 (/ 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (* beta i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta)))) (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))) (* 0 (/ 0 (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (/ i (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) into (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) into (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) into (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) into (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) 0) (* 0 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) 0) (+ (* 0 0) (* 0 (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) 0) (* 0 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) 0) (+ (* 0 0) (* 0 (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) into (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) into (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) into (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) into (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) 0) (* 0 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) 0) (+ (* 0 0) (* 0 (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* * * [misc]progress:  tayloring alt 14 of 14
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 5)))) (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 4)))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 5)))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 4)))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha)))) (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (- (+ (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) 1)) (pow (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 (+ alpha i))))) (+)) (* 2 (sqrt (+ alpha i)))) into (* -1/8 (sqrt (/ 1 (pow (+ alpha i) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))) (+)) (* 2 (sqrt (fma i 2 alpha)))) into (* -1/8 (sqrt (/ 1 (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (- (/ (* -1/8 (sqrt (/ 1 (pow (+ alpha i) 3)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* -1/8 (sqrt (/ 1 (pow (fma i 2 alpha) 3)))) (sqrt (fma i 2 alpha)))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 3/8 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 5)))) (+ (* 1/4 (sqrt (/ 1 (* (+ alpha i) (pow (fma i 2 alpha) 3))))) (* 1/8 (sqrt (/ 1 (* (pow (+ alpha i) 3) (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 3/8 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 5)))) (+ (* 1/4 (sqrt (/ 1 (* (+ alpha i) (pow (fma i 2 alpha) 3))))) (* 1/8 (sqrt (/ 1 (* (pow (+ alpha i) 3) (fma i 2 alpha)))))))) (+ (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 3/8 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 5)))) (+ (* 1/4 (sqrt (/ 1 (* (+ alpha i) (pow (fma i 2 alpha) 3))))) (* 1/8 (sqrt (/ 1 (* (pow (+ alpha i) 3) (fma i 2 alpha))))))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))))) into (- (+ (* 5/8 (/ i (pow (fma i 2 alpha) 3))) (+ (* 5/8 (/ alpha (pow (fma i 2 alpha) 3))) (* 3/8 (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) 0) (* (- (+ (* 5/8 (/ i (pow (fma i 2 alpha) 3))) (+ (* 5/8 (/ alpha (pow (fma i 2 alpha) 3))) (* 3/8 (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (- (/ i (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ i (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))) 2)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) 1)) (pow (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i 2 alpha) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4)))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ i (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 4)) into (* (sqr i) (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 5)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 5)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 5))) into (pow (fma i 2 alpha) 5)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 5) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 5) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 5)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 5)) into (* i (pow (fma i 2 alpha) 5))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 5)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 4)))) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 32.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 32.0 in alpha
* [misc]backup-simplify:  Simplify 32.0 into 32.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 4)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 4)) into (* (sqr i) (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma i 2 alpha)))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 3))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 3) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 3)) into (* i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 3)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 4)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 4)))) into (pow (fma i 2 alpha) 4)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* i (sqr (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* i (- (sqr (fma i 2 alpha)) 1.0)) into (* i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (sqr i) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16.0 in alpha
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ i (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 1 (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 16 in alpha
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 4))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 4)) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 4)))) into (* i (pow (fma i 2 alpha) 4))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 4)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ (pow (fma i 2 alpha) 4) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (fma i 2 alpha))) into (* (sqr i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (fma i 2 alpha) 6)) into (* (sqr i) (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* (sqr i) (pow (fma i 2 alpha) 6)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ i (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ i (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 alpha)) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i 2 alpha) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (pow (fma i 2 alpha) 6)) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (fma i 2 alpha) 6)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (fma i 2 alpha) 6)))) into (pow (fma i 2 alpha) 6)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 6) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8.0 in alpha
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (sqr (fma i 2 alpha)) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma i 2 alpha))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma i 2 alpha))))) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (sqr (fma i 2 alpha)))) (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* i (sqr (fma i 2 alpha))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (* i (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (sqr (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (sqr (fma i 2 alpha))))) into (* i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* i (sqr (fma i 2 alpha))) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (sqr (fma i 2 alpha)) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (* i (pow (fma i 2 alpha) 6))) (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* i (pow (fma i 2 alpha) 6))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* i (pow (fma i 2 alpha) 6)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* i (pow (fma i 2 alpha) 6)) into (* i (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (* 0 (* i (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (pow (fma i 2 alpha) 6))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* i (pow (fma i 2 alpha) 6)))) into (* i (pow (fma i 2 alpha) 6))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]backup-simplify:  Simplify (/ (* i (pow (fma i 2 alpha) 6)) (* (sqr i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (/ (pow (fma i 2 alpha) 6) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 6.0 in alpha
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 8.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ 4.0 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 6 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ 4.0 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))) into (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))))
* [misc]backup-simplify:  Simplify (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 1.0 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))))))))))))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 16.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))))))) (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (pow (fma i 2 alpha) 3) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))))))))))))))))))) into (- (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) into (* 1/2 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 5) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 5 (log (fma i 2 alpha))) into (* 5 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 5)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) into (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) into (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 6 (log (fma i 2 alpha))) into (* 6 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 6 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 6)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 3) (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (* i (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) into (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma i 2 alpha) 4) (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* i (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* i (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma i 2 alpha)) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma i 2 alpha)) 1.0))) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 2.0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (/ 6 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) (/ 0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))) (/ 0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (sqr (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) into (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))
* [misc]backup-simplify:  Simplify (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (sqr (fma i 2 alpha)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (sqr (fma i 2 alpha)) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (+ (* (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))) (/ 0 (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8.0 0) (* 0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma i 2 alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma i 2 alpha) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (+ (* (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (* 0 (/ 0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 0) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 6.0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) into (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) (- (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) into (- (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) into (/ 4.0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (/ 4.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 4.0 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) into (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))) (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha)))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) into (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) into (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3)))))))) (- (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) 0) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))) into (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ 1.0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) 0) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))))) into (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (- (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))) into (- (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 2.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 8.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2 (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 6 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 4 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 8.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 6.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 4.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 0 (- (+ (* 4 (/ (pow (fma i 2 alpha) 5) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))) (+ (* 4.0 (/ 1 (- (+ (pow (fma i 2 alpha) 5) (* 1.0 (fma i 2 alpha))) (* 2.0 (pow (fma i 2 alpha) 3))))) (+ (* 4.0 (/ 1 (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))))) (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0))))))) (+ (* 4.0 (/ (fma i 2 alpha) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (* 4 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 8.0 (/ (pow (fma i 2 alpha) 3) (- (+ (pow (fma i 2 alpha) 6) (* 3.0 (sqr (fma i 2 alpha)))) (+ (* 3.0 (pow (fma i 2 alpha) 4)) 1.0)))))))) (* 0 (- (* 2.0 (/ (sqr (fma i 2 alpha)) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha)))))) (+ (/ (pow (fma i 2 alpha) 4) (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))) (* 1.0 (/ 1 (- (+ (pow (fma i 2 alpha) 4) 1.0) (* 2.0 (sqr (fma i 2 alpha))))))))))) into (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) into (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 1.0 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (pow (fma i 2 alpha) 4) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (pow (fma i 2 alpha) 6) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 4.0 (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3.0 (/ 1 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2.0 (/ 1 (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))) (sqr (* 1 (* 1 beta)))) (+ (* (- (+ (* 2.0 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2.0 (/ 1 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* 1 beta))) (+ (* 2 (log i)) (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))) into (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) into (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (log i))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (- (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (log i))) into (- (+ (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i)) into (- (+ (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) 1)) (pow (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1)))) 1) into (* -1 (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) (* 0 (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) 0) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha))))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))) 2)) (pow (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))))))))))))))) 1)) (pow (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1/2 in alpha
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* -1/2 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))) (+ (* 0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) (* 0 (- +nan.0)))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1 (* 1 (/ 1 beta)))) (- (+ (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i)))) into (- (+ (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (+ (* +nan.0 (/ 1 (sqr beta))) (- (log i) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (log (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (+ (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 3 (log beta)))
* [misc]taylor:  Taking taylor expansion of (+ (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (* 3 (log beta))) into (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (log beta)) (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]taylor:  Taking taylor expansion of (log (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log i)) (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (log i))
* [misc]backup-simplify:  Simplify (+ (* 3 (log beta)) (- (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (log i))) into (- (+ (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- (+ (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i)) into (- (+ (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ 1 i))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) 1)) (pow (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) 1)))) 1) into (* -1 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) (* 0 (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) 0) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (- (+ (* +nan.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))))))))))))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))))))))))))))) 1) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))))))))))) 2)) (pow (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))))))))))))))))))))))) 1)) (pow (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1/2 in alpha
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) 0) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* -1/2 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (/ 1 i)))))))))) (* 0 (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) into (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) (* 1 (* 1 (/ 1 (- beta))))) (- (+ (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (log i)))) into (- (+ (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (+ (* +nan.0 (/ 1 (sqr beta))) (- (log i) (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ beta alpha)) into (sqrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta alpha)))) into (* 1/2 (sqrt (/ 1 (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta alpha)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta alpha) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (sqrt (+ beta i)) into (sqrt (+ beta i))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta i)))) into (* 1/2 (sqrt (/ 1 (+ beta i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (+ beta (fma i 2 alpha))) into (sqrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta i)) (sqrt (+ beta (fma i 2 alpha)))) into (sqrt (/ (+ beta i) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta alpha) i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (sqrt (+ alpha i)) into (sqrt (+ alpha i))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ alpha i)))) into (* 1/2 (sqrt (/ 1 (+ alpha i))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (fma i 2 alpha)) into (sqrt (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (fma i 2 alpha)))) into (* 1/2 (sqrt (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ alpha i)) (sqrt (fma i 2 alpha))) into (sqrt (/ (+ alpha i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (sqrt (/ (+ alpha i) (fma i 2 alpha)))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ alpha i)))) (sqrt (fma i 2 alpha))) (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (/ (* 1/2 (sqrt (/ 1 (fma i 2 alpha)))) (sqrt (fma i 2 alpha)))))) into (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ alpha i) (fma i 2 alpha))) (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3)))))) (* (- (* 1/2 (sqrt (/ 1 (* (+ alpha i) (fma i 2 alpha))))) (* 1/2 (sqrt (/ (+ alpha i) (pow (fma i 2 alpha) 3))))) (sqrt (/ (+ alpha i) (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ (+ alpha i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* +nan.0 (sqrt (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 i) (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ 1 i) 2 (/ 1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (/ 1 i) (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) +nan.0)) (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (/ (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) into (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1 (* 1 (/ 1 beta)))) +nan.0)) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* +nan.0 (sqrt (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 i) (/ 1 alpha))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (/ +nan.0 i)) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 i))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (+ (/ 1 alpha) (/ 1 i)))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (/ (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i)))))))))))))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ 1 i))))))))))))))) +nan.0))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* alpha i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) into (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqr i))) into (/ +nan.0 (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 i)))) into (- (* +nan.0 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 i)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqr i)) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (* +nan.0 (/ 1 i)))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr i))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) into (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) into (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- (+ +nan.0 (- (* +nan.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))) (+ (* (- (+ (* +nan.0 (fma (/ -1 i) 2 (/ -1 alpha))) (- +nan.0))) (* 1 (* 1 (/ 1 (- beta))))) +nan.0)) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))
* * * [misc]progress:  simplifying alt 1 of 156
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ alpha (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ alpha (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 2 of 156
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5))))))))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 3 of 156
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))))))))))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 4 of 156
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 5 of 156
* [enter]simplify:  Simplifying (/ (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3)))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 6 of 156
* [enter]simplify:  Simplifying (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 7 of 156
* [enter]simplify:  Simplifying (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))
* * * [misc]progress:  simplifying alt 8 of 156
* [enter]simplify:  Simplifying (/ (* (* (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 9 of 156
* [enter]simplify:  Simplifying (/ (* (* (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 10 of 156
* [enter]simplify:  Simplifying (/ (* (* (sqr (- (+ (* +nan.0 (/ i (fma i 2 alpha))) (- (+ (* +nan.0 (/ beta (fma i 2 alpha))) (- (* +nan.0 (/ alpha (fma i 2 alpha))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 11 of 156
* [enter]simplify:  Simplifying (/ (* (* (sqr (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 12 of 156
* [enter]simplify:  Simplifying (/ (* (* (sqr (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 13 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (fma i (+ (+ beta i) alpha) (* alpha beta))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (fma i (+ (+ beta i) alpha) (* alpha beta))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* * * [misc]progress:  simplifying alt 14 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)))
* * * [misc]progress:  simplifying alt 15 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0))))
* * * [misc]progress:  simplifying alt 16 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (+ beta alpha) i) i) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (+ (+ beta alpha) i) i) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta))))))
* * * [misc]progress:  simplifying alt 17 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) i))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) i)))
* * * [misc]progress:  simplifying alt 18 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i)))
* * * [misc]progress:  simplifying alt 19 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* beta i) (fma i 2 alpha)) (/ (sqr i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* beta i) (fma i 2 alpha)) (/ (sqr i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 20 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (/ i (/ beta i)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ i (/ (* alpha i) beta)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (/ i (/ beta i)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ i (/ (* alpha i) beta)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 21 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) (/ i (/ beta alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) (/ i (/ beta alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 22 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ (+ beta alpha) i) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (* (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (* (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 23 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha)))) (* (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha)))) (* (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* * * [misc]progress:  simplifying alt 24 of 156
* [enter]simplify:  Simplifying (cube (/ (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (/ (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)) i))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (/ (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)) i)))
* * * [misc]progress:  simplifying alt 25 of 156
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 26 of 156
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (+ (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* [misc]none:  prog is (λ (alpha beta i) (+ (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))))
* * * [misc]progress:  simplifying alt 27 of 156
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* * * [misc]progress:  simplifying alt 28 of 156
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha)) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha)) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 29 of 156
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) i (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ alpha (/ beta i)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ beta i) (/ beta i))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) i (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ alpha (/ beta i)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ beta i) (/ beta i))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 30 of 156
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (/ alpha (/ beta i)) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (/ alpha (/ beta i)) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 31 of 156
* [enter]simplify:  Simplifying (exp (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (exp (- (+ (+ (- (fma (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 2.0 (log (fma i (+ (+ i beta) alpha) (* beta alpha)))) (log (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha))))) (fma (/ 2.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (log i) 2))) (fma (/ (* (* beta beta) (pow (fma i 2 alpha) 4)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 4.0 (+ (* (/ (* beta beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ 3 (/ 1.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 4.0 (* (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))))) (+ (+ (fma 2 (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (* 4.0 beta) beta) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 2.0 (* (/ (* 2 beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (cube (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))) (fma 3.0 (/ (sqr (/ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (* (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2.0 (/ (* (* 2 (* beta beta)) (pow (fma i 2 alpha) 6)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)))))))
* [misc]none:  prog is (λ (alpha beta i) (exp (- (+ (+ (- (fma (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 2.0 (log (fma i (+ (+ i beta) alpha) (* beta alpha)))) (log (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha))))) (fma (/ 2.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (log i) 2))) (fma (/ (* (* beta beta) (pow (fma i 2 alpha) 4)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 4.0 (+ (* (/ (* beta beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ 3 (/ 1.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 4.0 (* (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))))) (+ (+ (fma 2 (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (* 4.0 beta) beta) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 2.0 (* (/ (* 2 beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (cube (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))) (fma 3.0 (/ (sqr (/ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (* (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2.0 (/ (* (* 2 (* beta beta)) (pow (fma i 2 alpha) 6)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4))))))))
* * * [misc]progress:  simplifying alt 32 of 156
* [enter]simplify:  Simplifying (exp (- (+ (* 2 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))))) (+ (log i) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (exp (- (+ (fma 2 (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (/ 1.0 beta) beta)) (fma 3 (log beta) (log (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 beta) alpha))))) (fma 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (log i))))
* [misc]none:  prog is (λ (alpha beta i) (exp (- (+ (fma 2 (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (/ 1.0 beta) beta)) (fma 3 (log beta) (log (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 beta) alpha))))) (fma 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (log i)))))
* * * [misc]progress:  simplifying alt 33 of 156
* [enter]simplify:  Simplifying (exp (- (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (+ (* 3 (log beta)) (* 2 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta)))))) (+ (log i) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))))
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (exp (+ (fma (/ 1.0 (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha))) (/ (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha)) (* beta beta)) (log (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha)))) (- (fma (sqr (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 2 (* (log beta) 3)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 4 (log i)))))
* [misc]none:  prog is (λ (alpha beta i) (exp (+ (fma (/ 1.0 (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha))) (/ (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha)) (* beta beta)) (log (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha)))) (- (fma (sqr (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 2 (* (log beta) 3)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 4 (log i))))))
* * * [misc]progress:  simplifying alt 34 of 156
* [enter]simplify:  Simplifying (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* beta (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha)))))) (* (/ 1.0 (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha)))) (/ (* (* beta i) (fma i (+ beta (+ i alpha)) (* beta alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha)))))) (* (/ 1.0 (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha)))) (/ (* (* beta i) (fma i (+ beta (+ i alpha)) (* beta alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 35 of 156
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (+ (* 10 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (exp (- (+ (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (fma (/ 1 i) 2 (/ 1 alpha))) beta)))
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ 1.0 beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))) (* (/ (* (* 10 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))))) (- (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ (pow beta 3) i)) (/ (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (* (/ (pow beta 3) i) 4)) (/ beta (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ 1.0 beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))) (* (/ (* (* 10 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))))) (- (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ (pow beta 3) i)) (/ (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (* (/ (pow beta 3) i) 4)) (/ beta (fma (/ 1 i) 2 (/ 1 alpha)))))))
* * * [misc]progress:  simplifying alt 36 of 156
* [enter]simplify:  Simplifying (- (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) (sqr beta))) (+ (* 1.0 (/ (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))) (sqr beta))) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i))))) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (exp (- (+ (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 3 (log beta))) (log i)))) beta)))
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (- (fma 10 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ beta (/ (pow beta 3) i)))) (fma (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ (* beta beta) (/ (pow beta 3) i))) 1.0 (* (/ (pow beta 3) i) (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha)))))) (/ (* 4 (* (/ (pow beta 3) i) (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha))))) (/ beta (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma 10 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ beta (/ (pow beta 3) i)))) (fma (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha))) (/ (* beta beta) (/ (pow beta 3) i))) 1.0 (* (/ (pow beta 3) i) (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha)))))) (/ (* 4 (* (/ (pow beta 3) i) (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* beta alpha))))) (/ beta (fma (/ -1 i) 2 (/ -1 alpha))))))
* * * [misc]progress:  simplifying alt 37 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))) (cube (+ (+ alpha i) beta))) (* (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (cube (+ (fma i 2 alpha) beta)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (* (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))) (cube (+ (+ alpha i) beta))) (* (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (cube (+ (fma i 2 alpha) beta))))))
* * * [misc]progress:  simplifying alt 38 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (* (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta)))) (* (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))))) (cube (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))))) (* (* (cube (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)) (sqr (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (* (* (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta)))) (* (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))))) (cube (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))))) (* (* (cube (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)) (sqr (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0))))))
* * * [misc]progress:  simplifying alt 39 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cube (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0)))) (* (/ (cube (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (/ (* (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (* (/ (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cube (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0)))) (* (/ (cube (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (/ (* (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* * * [misc]progress:  simplifying alt 40 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (cube (+ beta (+ alpha i))) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (cube (+ (+ beta i) alpha)) (cube (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (cube (/ i (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (cube (fma i (+ (+ beta i) alpha) (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (* (/ (/ (cube (+ (+ beta i) alpha)) (cube (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (cube (/ i (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (cube (fma i (+ (+ beta i) alpha) (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))))
* * * [misc]progress:  simplifying alt 41 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (cube (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (cube (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (* (cube (fma i (+ beta (+ alpha i)) (* alpha beta))) (cube (/ i (+ (fma i 2 alpha) beta)))))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (/ (cube (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (cube (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (* (cube (fma i (+ beta (+ alpha i)) (* alpha beta))) (cube (/ i (+ (fma i 2 alpha) beta))))))))
* * * [misc]progress:  simplifying alt 42 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (- (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (* (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ (cube (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (cube (fma i (+ beta (+ i alpha)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (* (- (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (* (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ (cube (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (cube (fma i (+ beta (+ i alpha)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha)))))))))
* * * [misc]progress:  simplifying alt 43 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (+ beta (+ alpha i))))) (* (cube (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (cube (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))) (cube (+ (+ alpha i) beta))) (* (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (cube (+ (fma i 2 alpha) beta)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (* (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))) (cube (+ (+ alpha i) beta))) (* (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (cube (+ (fma i 2 alpha) beta))))))
* * * [misc]progress:  simplifying alt 44 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (* (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta)))) (* (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))))) (cube (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))))) (* (* (cube (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)) (sqr (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (* (* (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta)))) (* (cube (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* alpha beta))))) (cube (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))))) (* (* (cube (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)) (sqr (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0))))))
* * * [misc]progress:  simplifying alt 45 of 156
* [enter]simplify:  Simplifying (cbrt (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (* (cube (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (cube (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cube (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i))))) (/ (cube (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* alpha beta)))) (cube (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0))))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (* (/ (cube (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cube (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i))))) (/ (cube (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* alpha beta)))) (cube (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0)))))))
* * * [misc]progress:  simplifying alt 46 of 156
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (cube (+ beta (+ alpha i))) (* (cube (fma i (+ beta (+ alpha i)) (* beta alpha))) (cube (/ i (+ beta (fma i 2 alpha)))))) (cube (+ beta (fma i 2 alpha)))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (cube (+ (+ beta i) alpha)) (cube (- (sqr (+ (fma i 2 alpha) beta)) 1.0))) (* (/ (cube (/ i (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ (cube (fma i (+ (+ beta i) alpha) (* alpha beta))) (sqr (+ (fma i 2 alpha) beta))))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (* (/ (cube (+ (+ beta i) alpha)) (cube (- (sqr (+ (fma i 2 alpha) beta)) 1.0))) (* (/ (cube (/ i (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta)) (/ (cube (fma i (+ (+ beta i) alpha) (* alpha beta))) (sqr (+ (fma i 2 alpha) beta)))))))
* * * [misc]progress:  simplifying alt 47 of 156
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (cube (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cube (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cube (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cube (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (* (cube (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta)))) (cube (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))))) (cube (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (/ (cube (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqr (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (* (/ (* (cube (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta)))) (cube (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))))) (cube (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (/ (cube (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqr (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))))
* * * [misc]progress:  simplifying alt 48 of 156
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (cube (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cube (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cube (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (cube (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* alpha beta)))) (* (* (cube (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (* (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (* (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cube (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (cbrt (/ (* (cube (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha)) (/ 1 (* alpha beta)))) (* (* (cube (+ (+ (/ (- 1) beta) (/ (- 1) i)) (/ (- 1) alpha))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (* (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (* (cube (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cube (- (sqr (+ (fma i 2 alpha) beta)) 1.0))))))
* * * [misc]progress:  simplifying alt 49 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ (/ i beta) beta) (/ (* (* i (+ i alpha)) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (pow beta 4)))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ (/ i beta) beta) (/ (* (* i (+ i alpha)) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (pow beta 4))))
* * * [misc]progress:  simplifying alt 50 of 156
* [enter]simplify:  Simplifying (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (fma (* (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (/ beta (/ i beta)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (/ i (pow beta 4)) (+ (/ 1 alpha) (/ 1 i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (/ beta (/ i beta)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (/ i (pow beta 4)) (+ (/ 1 alpha) (/ 1 i))))))
* * * [misc]progress:  simplifying alt 51 of 156
* [enter]simplify:  Simplifying (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (fma (* (- beta) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- beta) (/ i beta)) (/ (* (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha)) (pow beta 4)) (/ i (+ (/ 1 alpha) (/ 1 i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (- beta) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- beta) (/ i beta)) (/ (* (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha)) (pow beta 4)) (/ i (+ (/ 1 alpha) (/ 1 i))))))
* * * [misc]progress:  simplifying alt 52 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 53 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 54 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 55 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 56 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 (* (pow beta 4) i))) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) (/ (/ (/ 1 (pow beta 4)) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) (/ (/ (/ 1 (pow beta 4)) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 57 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (exp (* 4 (- (log -1) (log beta)))) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (+ i alpha) (/ (/ (pow (exp 4) (- (log -1) (log beta))) i) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (+ i alpha) (/ (/ (pow (exp 4) (- (log -1) (log beta))) i) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta)))))))
* * * [misc]progress:  simplifying alt 58 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (+ (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (pow beta 4) (* alpha i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (+ (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (pow beta 4) (* alpha i))))))
* * * [misc]progress:  simplifying alt 59 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) 0)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0))
* * * [misc]progress:  simplifying alt 60 of 156
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) 0)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0))
* * * [misc]progress:  simplifying alt 61 of 156
* [enter]simplify:  Simplifying (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (- (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (sqr (+ (fma i 2 alpha) beta))) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (* (sqr (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* i (fma i 2 alpha)) 2) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (- (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (sqr (+ (fma i 2 alpha) beta))) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (* (sqr (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* i (fma i 2 alpha)) 2) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))))))
* * * [misc]progress:  simplifying alt 62 of 156
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 63 of 156
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 64 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (sqr (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (sqr (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 65 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* * * [misc]progress:  simplifying alt 66 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* * * [misc]progress:  simplifying alt 67 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 68 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i (/ beta i)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (+ i (/ (* alpha i) beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ i (/ beta i)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (+ i (/ (* alpha i) beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 69 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) (/ i (/ beta alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) (/ i (/ beta alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 70 of 156
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (+ beta (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (+ beta (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (+ (fma i 2 alpha) beta)) (/ (* beta i) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (+ (fma i 2 alpha) beta)) (+ (/ (sqr i) (+ (fma i 2 alpha) beta)) (/ (* alpha i) (+ (fma i 2 alpha) beta))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (+ (fma i 2 alpha) beta)) (/ (* beta i) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (+ (fma i 2 alpha) beta)) (+ (/ (sqr i) (+ (fma i 2 alpha) beta)) (/ (* alpha i) (+ (fma i 2 alpha) beta))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 71 of 156
* [enter]simplify:  Simplifying (/ 0 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 72 of 156
* [enter]simplify:  Simplifying (/ 0 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 73 of 156
* [enter]simplify:  Simplifying (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) (* beta (- (sqr (fma i 2 alpha)) 1.0))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (fma (/ i beta) (+ alpha i) i) (sqr (fma i 2 alpha))))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ i beta) (+ alpha i) i) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (fma (/ i beta) (+ alpha i) i))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (* beta (fma (/ i beta) (+ i alpha) i)) (* (fma i 2 alpha) (fma i 2 alpha))))) 4 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (/ (fma (/ i beta) (+ i alpha) i) beta)))) (fma (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (fma (/ i beta) (+ i alpha) i))) (sqr (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (fma (/ i beta) (+ i alpha) i)) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) beta)))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (* beta (fma (/ i beta) (+ i alpha) i)) (* (fma i 2 alpha) (fma i 2 alpha))))) 4 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (/ (fma (/ i beta) (+ i alpha) i) beta)))) (fma (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (fma (/ i beta) (+ i alpha) i))) (sqr (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (fma (/ i beta) (+ i alpha) i)) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) beta))))))
* * * [misc]progress:  simplifying alt 74 of 156
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow beta 5))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i)))) (pow beta 5))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 alpha) (/ 1 i)) (/ 1 i))) (pow beta 3)))) (+ (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (pow beta 5)) (* 2 (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (pow beta 4)))))
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (/ (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (/ (pow beta 5) (fma i (+ i (+ alpha beta)) (* alpha beta)))) (fma (* (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (pow beta 5)) (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 4 (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (/ (cube beta) (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))))) (fma 2 (/ (* (fma i (+ i (+ alpha beta)) (* alpha beta)) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))) (pow beta 4)) (* (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (pow beta 5)) (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma 1.0 (/ (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (/ (pow beta 5) (fma i (+ i (+ alpha beta)) (* alpha beta)))) (fma (* (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (pow beta 5)) (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 4 (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (/ (cube beta) (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))))) (fma 2 (/ (* (fma i (+ i (+ alpha beta)) (* alpha beta)) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)))) (pow beta 4)) (* (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (pow beta 5)) (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))))
* * * [misc]progress:  simplifying alt 75 of 156
* [enter]simplify:  Simplifying (- (+ (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (pow beta 3)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 5))) (* 1.0 (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (pow beta 5))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i))) (/ (pow beta 5) (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)))) 3 (* (/ (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)) beta) (/ (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i)) (sqr beta)))) (- (/ (* 1.0 (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i))) (/ (pow beta 5) (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)))) (/ (* (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i))) (/ (pow beta 4) (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i))) (/ (pow beta 5) (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)))) 3 (* (/ (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)) beta) (/ (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i)) (sqr beta)))) (- (/ (* 1.0 (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i))) (/ (pow beta 5) (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)))) (/ (* (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ beta i) (+ (/ (- 1) i) (/ (- 1) alpha)) (/ -1 i))) (/ (pow beta 4) (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)))))))
* * * [misc]progress:  simplifying alt 76 of 156
* [enter]simplify:  Simplifying (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ i beta) (+ alpha i) i)) beta) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ i beta) (+ i alpha) i) beta))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ i beta) (+ i alpha) i) beta)))
* * * [misc]progress:  simplifying alt 77 of 156
* [enter]simplify:  Simplifying (/ (/ (* (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) beta) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (fma i (+ i (+ beta alpha)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (* (fma i (+ i (+ beta alpha)) (* beta alpha)) (fma (/ beta i) (+ (/ 1 i) (/ 1 alpha)) (/ 1 i))) beta) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 78 of 156
* [enter]simplify:  Simplifying (/ (/ (* (fma (/ beta i) (- (+ (/ 1 alpha) (/ 1 i))) (/ -1 i)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) beta) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ beta i) (- (+ (/ 1 i) (/ 1 alpha))) (/ -1 i)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)) beta))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ beta i) (- (+ (/ 1 i) (/ 1 alpha))) (/ -1 i)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (- i) (- (+ (+ alpha i) beta)) (* beta alpha)) beta)))
* * * [misc]progress:  simplifying alt 79 of 156
* [enter]simplify:  Simplifying (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i))))
* * * [misc]progress:  simplifying alt 80 of 156
* [enter]simplify:  Simplifying (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i))))
* * * [misc]progress:  simplifying alt 81 of 156
* [enter]simplify:  Simplifying (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i))))
* * * [misc]progress:  simplifying alt 82 of 156
* [enter]simplify:  Simplifying (/ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (fma (/ i beta) (+ i alpha) i))))
* * * [misc]progress:  simplifying alt 83 of 156
* [enter]simplify:  Simplifying (/ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ beta (fma (/ i beta) (+ i alpha) i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ beta (fma (/ i beta) (+ i alpha) i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 84 of 156
* [enter]simplify:  Simplifying (/ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) (/ beta (fma (/ i beta) (+ alpha i) i))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) (/ beta (fma (/ i beta) (+ alpha i) i))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 85 of 156
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) (* beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (- (pow (fma i 2 alpha) 3) (* 1.0 (fma i 2 alpha))) beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (/ i (fma i 2 alpha)) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (+ (/ (* (/ alpha (fma i 2 alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* i i) (- (cube (fma i 2 alpha)) (* (fma i 2 alpha) 1.0))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (/ i (fma i 2 alpha)) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (+ (/ (* (/ alpha (fma i 2 alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* i i) (- (cube (fma i 2 alpha)) (* (fma i 2 alpha) 1.0)))))))
* * * [misc]progress:  simplifying alt 86 of 156
* [enter]simplify:  Simplifying (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (pow beta 4)) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (pow beta 3)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (+ (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i alpha))) (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (cube beta)) i (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i i)))))
* [misc]none:  prog is (λ (alpha beta i) (+ (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i alpha))) (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (cube beta)) i (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i i))))))
* * * [misc]progress:  simplifying alt 87 of 156
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow beta 3)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow beta 4)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (* alpha i))) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (cube beta)) i (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (sqr i)))))
* [misc]none:  prog is (λ (alpha beta i) (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (* alpha i))) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (cube beta)) i (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (sqr i))))))
* * * [misc]progress:  simplifying alt 88 of 156
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) i (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) alpha (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) i (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) alpha (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 89 of 156
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) beta) (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) beta) i (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) beta) alpha (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) beta) i (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) beta) alpha (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 90 of 156
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) beta) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) beta) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) beta) alpha (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) beta) i (fma i (+ (+ alpha beta) i) (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) beta) alpha (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) beta) i (fma i (+ (+ alpha beta) i) (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 91 of 156
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) beta) (+ alpha i))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) beta) (+ alpha i))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 92 of 156
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) beta) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) alpha (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) i (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ 1 (* alpha beta))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) alpha (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) i (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ 1 (* alpha beta))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 93 of 156
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) beta) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) beta) (+ alpha i)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ 1 (* alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) beta) (+ alpha i)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ 1 (* alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 94 of 156
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 95 of 156
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 96 of 156
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (- (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 97 of 156
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (cube (/ (* (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (/ (cbrt (+ (+ i beta) alpha)) (cbrt (+ beta (fma i 2 alpha))))) (/ (cbrt (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (/ i (+ beta (fma i 2 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (cube (/ (* (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (/ (cbrt (+ (+ i beta) alpha)) (cbrt (+ beta (fma i 2 alpha))))) (/ (cbrt (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (/ i (+ beta (fma i 2 alpha))))))))
* * * [misc]progress:  simplifying alt 98 of 156
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (* (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (/ (cbrt (+ (+ i beta) alpha)) (cbrt (+ beta (fma i 2 alpha)))))) (/ i (+ beta (fma i 2 alpha)))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (sqr beta)))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (cube (* (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (/ (cbrt (+ (+ i beta) alpha)) (cbrt (+ beta (fma i 2 alpha)))))) (/ i (+ beta (fma i 2 alpha)))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (sqr beta)))) 1.0)))
* * * [misc]progress:  simplifying alt 99 of 156
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (/ (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ beta alpha) i))))) (/ i (+ beta (fma i 2 alpha)))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 (sqr beta))) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (cube (/ (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ beta alpha) i))))) (/ i (+ beta (fma i 2 alpha)))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 (sqr beta))) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0))))
* * * [misc]progress:  simplifying alt 100 of 156
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (cube (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))))) (/ i (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 101 of 156
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ (+ beta i) alpha)) (cbrt (+ beta (fma i 2 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ (/ 1 beta) alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (cube (* (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ (+ beta i) alpha)) (cbrt (+ beta (fma i 2 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ (/ 1 beta) alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 102 of 156
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (* (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ (/ 1 beta) alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (cube (* (* (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ (/ 1 beta) alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 103 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (+ beta (+ alpha i))))) (* (cbrt (+ beta (fma i 2 alpha))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (cbrt (/ i (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ i alpha)) (* beta alpha))) (cube (/ (cbrt (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (* beta beta) 1.0))) (/ (cbrt (+ beta (+ i alpha))) (cbrt (+ beta (fma i 2 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (cube (cbrt (/ i (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ i alpha)) (* beta alpha))) (cube (/ (cbrt (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (* beta beta) 1.0))) (/ (cbrt (+ beta (+ i alpha))) (cbrt (+ beta (fma i 2 alpha))))))))
* * * [misc]progress:  simplifying alt 104 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (* (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))) (cube (cbrt (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))))))) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (* (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta))) (cube (cbrt (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))))))) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0))))
* * * [misc]progress:  simplifying alt 105 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (cube (cbrt (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (cube (cbrt (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)))))
* * * [misc]progress:  simplifying alt 106 of 156
* [enter]simplify:  Simplifying (cube (/ (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (+ beta (+ alpha i))))) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (* (cbrt (+ (+ alpha i) beta)) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (/ (cube (* (* (cbrt (+ (+ alpha i) beta)) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 107 of 156
* [enter]simplify:  Simplifying (cube (/ (/ (* (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* alpha beta)))) (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta)))))) (* (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (cube (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* alpha beta)))) (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (/ 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) i (/ (* i 1) beta)))))) (* (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))
* * * [misc]progress:  simplifying alt 108 of 156
* [enter]simplify:  Simplifying (cube (/ (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (cbrt (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (/ (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (cbrt (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))))))
* [misc]none:  prog is (λ (alpha beta i) (cube (* (/ (cbrt (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (/ (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (cbrt (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))))))
* * * [misc]progress:  simplifying alt 109 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 110 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))) (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (sqr beta)))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))) (- (fma 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (sqr beta)))) 1.0)))
* * * [misc]progress:  simplifying alt 111 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (* (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 (sqr beta))) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 (sqr beta))) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0))))
* * * [misc]progress:  simplifying alt 112 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 113 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 114 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 115 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* * * [misc]progress:  simplifying alt 116 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fma i (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ 1 beta) i))) (/ (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ 1 (fma i (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ 1 beta) i))) (/ (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)))))))
* * * [misc]progress:  simplifying alt 117 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0))))
* * * [misc]progress:  simplifying alt 118 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (* (+ beta (+ alpha i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* * * [misc]progress:  simplifying alt 119 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fma i (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* 1 i) beta))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ 1 (fma i (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* 1 i) beta))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))))
* * * [misc]progress:  simplifying alt 120 of 156
* [enter]simplify:  Simplifying (cube (/ (* (cbrt (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* * * [misc]progress:  simplifying alt 121 of 156
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (pow (fma i 2 alpha) 3) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* beta (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* 9 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) (+ (* 3 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 6.0 (/ (* (sqr beta) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (* 3 (/ (* beta (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (346 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (fma (* (/ (* beta beta) (fma i 2 alpha)) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (sqr (fma i 2 alpha)))) (/ i (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (/ beta (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (fma i 2 alpha)) 1.0) i)))) (fma (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* 9 (* beta beta)) (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) i))))) (fma (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* i beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* (* beta beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (/ (fma i 2 alpha) i)) (+ (/ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 6.0 (cube (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma 1.0 (fma (* (/ (* beta beta) (fma i 2 alpha)) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (sqr (fma i 2 alpha)))) (/ i (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (/ beta (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (fma i 2 alpha)) 1.0) i)))) (fma (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* 9 (* beta beta)) (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) i))))) (fma (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* i beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* (* beta beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (/ (fma i 2 alpha) i)) (+ (/ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 6.0 (cube (- (sqr (fma i 2 alpha)) 1.0))))))))
* * * [misc]progress:  simplifying alt 122 of 156
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (pow beta 5))) (+ (* 9 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i)) (pow beta 5))) (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 i) (/ 1 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (pow beta 3)))) (+ (* 3 (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (* 3 (/ (* (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4)))))
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (pow beta 5) i)) (fma 9 (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (pow beta 5) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (cube beta) i)))) (* (+ (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (pow beta 5) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (/ (pow beta 4) i) (fma (/ 1 i) 2 (/ 1 alpha))))) 3))
* [misc]none:  prog is (λ (alpha beta i) (- (fma 1.0 (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (pow beta 5) i)) (fma 9 (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (pow beta 5) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (cube beta) i)))) (* (+ (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (pow beta 5) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (fma (* (fma i (+ (+ beta i) alpha) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ beta i) alpha) (* beta alpha))) (/ (/ (pow beta 4) i) (fma (/ 1 i) 2 (/ 1 alpha))))) 3)))
* * * [misc]progress:  simplifying alt 123 of 156
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 5))) (+ (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (pow beta 5))) (/ (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (pow beta 3)))) (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* i (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (+ (fma (* (/ i (pow beta 5)) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))) 1.0 (/ (* 6 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i))) (/ (pow beta 5) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))))) (- (* (/ i (cube beta)) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))) (/ (* (* (* 3 i) (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))) (pow beta 4))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (* (/ i (pow beta 5)) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))) 1.0 (/ (* 6 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i))) (/ (pow beta 5) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))))) (- (* (/ i (cube beta)) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))) (/ (* (* (* 3 i) (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* (- beta) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha))) (- (+ (/ 1 i) (/ 1 alpha))) (fma (- i) (- (+ (+ alpha beta) i)) (* beta alpha)))) (pow beta 4)))))
* * * [misc]progress:  simplifying alt 124 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 125 of 156
* [enter]simplify:  Simplifying (/ (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (fma i (+ (+ alpha beta) i) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ alpha beta) i) (* beta alpha))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (fma i (+ (+ alpha beta) i) (* beta alpha)) beta) (+ (/ 1 alpha) (/ 1 i)) (fma i (+ (+ alpha beta) i) (* beta alpha))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 126 of 156
* [enter]simplify:  Simplifying (/ (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (- (+ (/ 1 alpha) (/ 1 i))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha)) (- beta)) (- (+ (/ 1 alpha) (/ 1 i))) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha)) (- beta)) (- (+ (/ 1 alpha) (/ 1 i))) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 127 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 128 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 129 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 130 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 131 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 132 of 156
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 133 of 156
* [enter]simplify:  Simplifying (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (+ beta (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (- (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (sqr (+ (fma i 2 alpha) beta))) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (* (sqr (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* i (fma i 2 alpha)) 2) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (- (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (sqr (+ (fma i 2 alpha) beta))) (+ (/ (* beta i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (* (sqr (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* i (fma i 2 alpha)) 2) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ i (+ alpha beta)) (* beta alpha)))))))
* * * [misc]progress:  simplifying alt 134 of 156
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 135 of 156
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 136 of 156
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (+ beta alpha) i) i) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (* (+ (+ beta alpha) i) i) (/ (sqr (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 137 of 156
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) i))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) i)))
* * * [misc]progress:  simplifying alt 138 of 156
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta)))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta)))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* * * [misc]progress:  simplifying alt 139 of 156
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (cbrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 140 of 156
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (cbrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) beta) (/ (* i i) beta) (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) beta) (+ i (/ i (/ beta alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) beta) (/ (* i i) beta) (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) beta) (+ i (/ i (/ beta alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 141 of 156
* [enter]simplify:  Simplifying (/ (cube (sqr (sqrt (cbrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) i (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (/ alpha (/ beta i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (* (/ beta i) (/ beta i))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) i (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (/ alpha (/ beta i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (* (/ beta i) (/ beta i))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 142 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (sqr (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (sqr (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (+ (+ i beta) alpha) i) (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (sqr (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 143 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* * * [misc]progress:  simplifying alt 144 of 156
* [enter]simplify:  Simplifying (/ (cube (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* * * [misc]progress:  simplifying alt 145 of 156
* [enter]simplify:  Simplifying (exp (log (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 146 of 156
* [enter]simplify:  Simplifying (exp (log (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 5))))))))))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 147 of 156
* [enter]simplify:  Simplifying (exp (log (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 5))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 5))))))))))))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 148 of 156
* [enter]simplify:  Simplifying (exp (log (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha)) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha)) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 149 of 156
* [enter]simplify:  Simplifying (exp (log (/ (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta)) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow beta 3)))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 150 of 156
* [enter]simplify:  Simplifying (exp (log (/ (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3))) (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta))))))))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 151 of 156
* [enter]simplify:  Simplifying (exp (- (+ (* 2.0 (/ beta (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (log (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2.0 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (log i)) (+ (* 4.0 (/ (* (sqr beta) (pow (fma i 2 alpha) 4)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 3 (/ (sqr beta) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (sqr beta) (sqr (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))) (+ (* 3.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (sqr beta) (pow (fma i 2 alpha) 6)) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2.0 (/ (sqr beta) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* beta (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4.0 (/ (sqr beta) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 2.0 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (* 2 (/ (* beta (pow (fma i 2 alpha) 3)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))))))
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (436 enodes)
* [exit]simplify:  Simplified to (exp (- (+ (+ (- (fma (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 2.0 (log (fma i (+ (+ i beta) alpha) (* beta alpha)))) (log (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha))))) (fma (/ 2.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (log i) 2))) (fma (/ (* (* beta beta) (pow (fma i 2 alpha) 4)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 4.0 (+ (* (/ (* beta beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ 3 (/ 1.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 4.0 (* (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))))) (+ (+ (fma 2 (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (* 4.0 beta) beta) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 2.0 (* (/ (* 2 beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (cube (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))) (fma 3.0 (/ (sqr (/ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (* (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2.0 (/ (* (* 2 (* beta beta)) (pow (fma i 2 alpha) 6)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)))))))
* [misc]none:  prog is (λ (alpha beta i) (exp (- (+ (+ (- (fma (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 2.0 (log (fma i (+ (+ i beta) alpha) (* beta alpha)))) (log (* (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (* (fma i 2 alpha) (fma i 2 alpha))))) (fma (/ 2.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (log i) 2))) (fma (/ (* (* beta beta) (pow (fma i 2 alpha) 4)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 4.0 (+ (* (/ (* beta beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ 3 (/ 1.0 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 4.0 (* (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))))) (+ (+ (fma 2 (/ (* (fma i 2 alpha) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (* 4.0 beta) beta) (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))) (fma (/ (* (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4)) 2.0 (* (/ (* 2 beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (cube (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))) (fma 3.0 (/ (sqr (/ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (* (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ beta (fma i 2 alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2.0 (/ (* (* 2 (* beta beta)) (pow (fma i 2 alpha) 6)) (pow (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) 4))))))))
* * * [misc]progress:  simplifying alt 152 of 156
* [enter]simplify:  Simplifying (exp (- (+ (log (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (+ (* +nan.0 (/ 1 (sqr beta))) (- (log i) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 153 of 156
* [enter]simplify:  Simplifying (exp (- (+ (log (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 3 (log beta))) (+ (* +nan.0 (/ 1 (sqr beta))) (- (log i) (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 154 of 156
* [enter]simplify:  Simplifying (exp (log (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (/ i (+ beta (fma i 2 alpha))) (fma i (+ (+ beta i) alpha) (* beta alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (/ i (+ beta (fma i 2 alpha))) (fma i (+ (+ beta i) alpha) (* beta alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 155 of 156
* [enter]simplify:  Simplifying (exp (log (/ (* (* (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (* +nan.0 (/ 1 beta))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 156 of 156
* [enter]simplify:  Simplifying (exp (log (/ (* (* (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (sqr beta))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta)))))))))))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))> #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-event (λ (alpha beta i) 0)> #<alt-event (λ (alpha beta i) (- (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (* beta (fma (/ i beta) (+ i alpha) i)) (* (fma i 2 alpha) (fma i 2 alpha))))) 4 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (/ (fma (/ i beta) (+ i alpha) i) beta)))) (fma (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (fma (/ i beta) (+ i alpha) i))) (sqr (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (fma (/ i beta) (+ i alpha) i)) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) beta))))))> #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-event (λ (alpha beta i) (/ (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))> #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-delta (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))))> #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))> #<alt-event (λ (alpha beta i) (exp (- (+ (fma 2 (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (/ 1.0 beta) beta)) (fma 3 (log beta) (log (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 beta) alpha))))) (fma 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (log i)))))> #<alt-delta (λ (alpha beta i) (/ (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))> #<alt-delta (λ (alpha beta i) (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-event (λ (alpha beta i) (+ (fma (/ 1.0 beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))) (* (/ (* (* 10 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))))) (- (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ (pow beta 3) i)) (/ (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (* (/ (pow beta 3) i) 4)) (/ beta (fma (/ 1 i) 2 (/ 1 alpha)))))))> #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-event (λ (alpha beta i) (/ (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (/ (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)) i)))> #<alt-event (λ (alpha beta i) (/ (+ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) beta) (+ alpha i))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))> #<alt-delta (λ (alpha beta i) (/ (cube (sqr (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))> #<alt-event (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0))> #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))> #<alt-event (λ (alpha beta i) (- (fma 1.0 (fma (* (/ (* beta beta) (fma i 2 alpha)) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (sqr (fma i 2 alpha)))) (/ i (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (/ beta (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (fma i 2 alpha)) 1.0) i)))) (fma (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* 9 (* beta beta)) (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) i))))) (fma (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* i beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* (* beta beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (/ (fma i 2 alpha) i)) (+ (/ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 6.0 (cube (- (sqr (fma i 2 alpha)) 1.0))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 i +inf.0)) , with alts (#<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>)
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (- (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (* beta (fma (/ i beta) (+ i alpha) i)) (* (fma i 2 alpha) (fma i 2 alpha))))) 4 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (/ (fma (/ i beta) (+ i alpha) i) beta)))) (fma (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (fma (/ i beta) (+ i alpha) i))) (sqr (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) 2 (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (fma (/ i beta) (+ i alpha) i)) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) beta)))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* [exit]simplify:  Simplified to (- (fma (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* (fma (/ i beta) (+ i alpha) i) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (/ beta (- (sqr (fma i 2 alpha)) 1.0)))) 4 (* (/ (/ (fma (/ i beta) (+ i alpha) i) beta) (- (sqr (fma i 2 alpha)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))))) (fma (* (/ (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma (/ i beta) (+ i alpha) i)))) 2 (/ (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (* beta (fma (/ i beta) (+ i alpha) i)))) (- (sqr (fma i 2 alpha)) 1.0))))
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [enter]simplify:  Simplifying (/ (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [enter]simplify:  Simplifying (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [enter]simplify:  Simplifying (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta)
* [enter]simplify:  Simplifying (/ i (* beta beta))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ i (* beta beta))
* [exit]simplify:  Simplified to (/ i (* beta beta))
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ i alpha) i) (pow beta 4)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (* (+ i alpha) i) (pow beta 4)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))))
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [enter]simplify:  Simplifying (exp (- (+ (fma 2 (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (/ 1.0 beta) beta)) (fma 3 (log beta) (log (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 beta) alpha))))) (fma 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (log i))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (exp (+ (- (fma 2 (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (/ 1.0 beta) beta)) (fma 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (log i))) (fma 3 (log beta) (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))))
* [enter]simplify:  Simplifying (+ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (+ (/ i beta) (/ alpha beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (fma (+ (/ i beta) (/ alpha beta)) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))) (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ 1 (* alpha beta))))
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [enter]simplify:  Simplifying (+ (fma (/ 1.0 beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))) (* (/ (* (* 10 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) beta) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ beta (/ (pow beta 3) i))))) (- (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (/ (pow beta 3) i)) (/ (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ (/ 1 beta) alpha)) (* (/ (pow beta 3) i) 4)) (/ beta (fma (/ 1 i) 2 (/ 1 alpha))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (450 enodes)
* [exit]simplify:  Simplified to (+ (- (* (/ (cube beta) i) (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (/ 1 alpha) beta))) (/ (* (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ (cube beta) (/ i 4))) (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (/ 1 alpha) beta))) beta)) (fma (/ 1.0 beta) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (/ 1 alpha) beta)) (/ i (* beta beta))) (* (/ (* 10 (fma (/ 1 i) 2 (/ 1 alpha))) (/ i (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (/ 1 alpha) beta)) (* 1 (/ 1 beta))))))
* [enter]simplify:  Simplifying (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (/ (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (* (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0)) i))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 (* beta beta))) (fma 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 1.0))) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* alpha beta))) (* i (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [enter]simplify:  Simplifying (/ (+ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) (* (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 beta) alpha)) beta) (+ alpha i))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (* (/ (/ i (+ (fma i 2 alpha) beta)) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (fma (/ (+ i alpha) beta) (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha)) (fma (/ -1 i) (+ (+ (/ (- 1) alpha) (/ (- 1) i)) (/ (- 1) beta)) (/ (/ 1 beta) alpha))))
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ i alpha) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (+ i alpha) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))))
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (sqrt (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (* (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* [enter]simplify:  Simplifying (log (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (367 enodes)
* [exit]simplify:  Simplified to (log (* (/ i (+ beta (fma i 2 alpha))) (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (log (* (/ i (+ beta (fma i 2 alpha))) (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [enter]simplify:  Simplifying (- (fma 1.0 (fma (* (/ (* beta beta) (fma i 2 alpha)) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (sqr (fma i 2 alpha)))) (/ i (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (/ beta (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (/ (- (sqr (fma i 2 alpha)) 1.0) i)))) (fma (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* 9 (* beta beta)) (cube (- (sqr (fma i 2 alpha)) 1.0))) (* (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (* (fma i 2 alpha) i))))) (fma (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* i beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* (* beta beta) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ alpha i) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))))) (/ (fma i 2 alpha) i)) (+ (/ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 6.0 (cube (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 6 (57 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (fma (/ (* (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) beta) (+ alpha i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (/ (* beta beta) (fma i 2 alpha))) (sqr (fma i 2 alpha))) (/ i (cube (- (sqr (fma i 2 alpha)) 1.0))) (/ (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) beta) (+ alpha i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (/ (/ (- (sqr (fma i 2 alpha)) 1.0) i) beta)) (* (- (sqr (fma i 2 alpha)) 1.0) (sqr (fma i 2 alpha))))) (fma (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) beta) (+ alpha i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (fma i 2 alpha)) (/ i (- (sqr (fma i 2 alpha)) 1.0)) (* (* (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) beta) (+ alpha i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (* (fma i 2 alpha) i)) (/ (* 9 (* beta beta)) (cube (- (sqr (fma i 2 alpha)) 1.0)))))) (fma (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* i beta) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) beta) (+ alpha i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) (* (* (* i (/ (* beta beta) (fma i 2 alpha))) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) beta) (+ alpha i) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)))) (+ (/ (/ 6.0 (- (sqr (fma i 2 alpha)) 1.0)) (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0))) (/ (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0))))))